Finding the Fourth Proportional to 9,696.45, 14,536.17 and 5,006.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.45 : 14,536.17 = 5,006.55 : x
2. Step 2: Convert to fraction form
   9,696.45/14,536.17 = 5,006.55/x
3. Step 3: Cross multiply
   9,696.45x = 14,536.17 × 5,006.55
4. Step 4: Simplify right side
   9,696.45x = 72,776,061.91
5. Step 5: Solve for x
   x = 72,776,061.91/9,696.45
6. Step 6: Final answer
   x = 7,505.43