Finding the Fourth Proportional to 10,655.38, 14,689.04 and 7,458.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,655.38 : 14,689.04 = 7,458.78 : x
2. Step 2: Convert to fraction form
   10,655.38/14,689.04 = 7,458.78/x
3. Step 3: Cross multiply
   10,655.38x = 14,689.04 × 7,458.78
4. Step 4: Simplify right side
   10,655.38x = 109,562,317.77
5. Step 5: Solve for x
   x = 109,562,317.77/10,655.38
6. Step 6: Final answer
   x = 10,282.35