Finding the Fourth Proportional to 9,686.79, 14,531.89 and 5,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.79 : 14,531.89 = 5,005.50 : x
2. Step 2: Convert to fraction form
   9,686.79/14,531.89 = 5,005.50/x
3. Step 3: Cross multiply
   9,686.79x = 14,531.89 × 5,005.50
4. Step 4: Simplify right side
   9,686.79x = 72,739,375.40
5. Step 5: Solve for x
   x = 72,739,375.40/9,686.79
6. Step 6: Final answer
   x = 7,509.13