Finding the Fourth Proportional to 10,653.38, 14,686.29 and 7,456.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,653.38 : 14,686.29 = 7,456.78 : x
2. Step 2: Convert to fraction form
   10,653.38/14,686.29 = 7,456.78/x
3. Step 3: Cross multiply
   10,653.38x = 14,686.29 × 7,456.78
4. Step 4: Simplify right side
   10,653.38x = 109,512,368.87
5. Step 5: Solve for x
   x = 109,512,368.87/10,653.38
6. Step 6: Final answer
   x = 10,279.59