Finding the Fourth Proportional to 9,193.50, 12,687.30 and 5,002.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,193.50 : 12,687.30 = 5,002.02 : x
2. Step 2: Convert to fraction form
   9,193.50/12,687.30 = 5,002.02/x
3. Step 3: Cross multiply
   9,193.50x = 12,687.30 × 5,002.02
4. Step 4: Simplify right side
   9,193.50x = 63,462,128.35
5. Step 5: Solve for x
   x = 63,462,128.35/9,193.50
6. Step 6: Final answer
   x = 6,902.93