Finding the Fourth Proportional to 9,662.56, 14,494.16 and 7,038.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.56 : 14,494.16 = 7,038.08 : x
2. Step 2: Convert to fraction form
   9,662.56/14,494.16 = 7,038.08/x
3. Step 3: Cross multiply
   9,662.56x = 14,494.16 × 7,038.08
4. Step 4: Simplify right side
   9,662.56x = 102,011,057.61
5. Step 5: Solve for x
   x = 102,011,057.61/9,662.56
6. Step 6: Final answer
   x = 10,557.35