Finding the Fourth Proportional to 10,653.20, 14,686.02 and 7,456.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,653.20 : 14,686.02 = 7,456.60 : x
2. Step 2: Convert to fraction form
   10,653.20/14,686.02 = 7,456.60/x
3. Step 3: Cross multiply
   10,653.20x = 14,686.02 × 7,456.60
4. Step 4: Simplify right side
   10,653.20x = 109,507,740.02
5. Step 5: Solve for x
   x = 109,507,740.02/10,653.20
6. Step 6: Final answer
   x = 10,279.33