Finding the Fourth Proportional to 9,687.04, 14,532.27 and 5,005.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,687.04 : 14,532.27 = 5,005.75 : x
2. Step 2: Convert to fraction form
   9,687.04/14,532.27 = 5,005.75/x
3. Step 3: Cross multiply
   9,687.04x = 14,532.27 × 5,005.75
4. Step 4: Simplify right side
   9,687.04x = 72,744,874.22
5. Step 5: Solve for x
   x = 72,744,874.22/9,687.04
6. Step 6: Final answer
   x = 7,509.51