Finding the Fourth Proportional to 7,736.50, 10,677.72 and 4,592.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,736.50 : 10,677.72 = 4,592.62 : x
2. Step 2: Convert to fraction form
   7,736.50/10,677.72 = 4,592.62/x
3. Step 3: Cross multiply
   7,736.50x = 10,677.72 × 4,592.62
4. Step 4: Simplify right side
   7,736.50x = 49,038,710.43
5. Step 5: Solve for x
   x = 49,038,710.43/7,736.50
6. Step 6: Final answer
   x = 6,338.62