Finding the Fourth Proportional to 9,653.76, 14,498.56 and 7,580.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.76 : 14,498.56 = 7,580.16 : x
2. Step 2: Convert to fraction form
   9,653.76/14,498.56 = 7,580.16/x
3. Step 3: Cross multiply
   9,653.76x = 14,498.56 × 7,580.16
4. Step 4: Simplify right side
   9,653.76x = 109,901,404.57
5. Step 5: Solve for x
   x = 109,901,404.57/9,653.76
6. Step 6: Final answer
   x = 11,384.31