Finding the Fourth Proportional to 9,677.28, 13,354.80 and 5,429.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.28 : 13,354.80 = 5,429.29 : x
2. Step 2: Convert to fraction form
   9,677.28/13,354.80 = 5,429.29/x
3. Step 3: Cross multiply
   9,677.28x = 13,354.80 × 5,429.29
4. Step 4: Simplify right side
   9,677.28x = 72,507,082.09
5. Step 5: Solve for x
   x = 72,507,082.09/9,677.28
6. Step 6: Final answer
   x = 7,492.51