7•6+9•4(2•7+54:6•6•5)

Let's break down the expression step by step:

The original expression is: \[ 7 \cdot 6 + 9 \cdot 4(2 \cdot 7 + 54 \div 6 \cdot 6 \cdot 5) \]

Step 1: Calculate individual parts

1. \( 7 \cdot 6 = 42 \)
2. \( 9 \cdot 4 = 36 \)

Now we have: \[ 42 + 36(2 \cdot 7 + 54 \div 6 \cdot 6 \cdot 5) \]

Step 2: Evaluate inside the parentheses

First, calculate \( 2 \cdot 7 \): \[ 2 \cdot 7 = 14 \]

Next, evaluate \( 54 \div 6 \): \[ 54 \div 6 = 9 \]

Now, compute \( 9 \cdot 6 \cdot 5 \):

1. First, \( 9 \cdot 6 = 54 \)
2. Then, \( 54 \cdot 5 = 270 \)

So, \[ 54 \div 6 \cdot 6 \cdot 5 = 270 \]

Now, add \( 14 \) and \( 270 \): \[ 14 + 270 = 284 \]

Step 3: Substitute back into the expression

Now substitute back into the original equation: \[ 42 + 36(284) \]

Step 4: Calculate \( 36 \cdot 284 \)

To calculate \( 36 \cdot 284 \): \[ 36 \cdot 284 = 10224 \]

Step 5: Final calculation

Now add \( 42 \) to \( 10224 \): \[ 42 + 10224 = 10266 \]

So, the final answer is: \[ \boxed{10266} \]