Finding the Fourth Proportional to 9,862.52, 13,609.74 and 5,386.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,862.52 : 13,609.74 = 5,386.20 : x
2. Step 2: Convert to fraction form
   9,862.52/13,609.74 = 5,386.20/x
3. Step 3: Cross multiply
   9,862.52x = 13,609.74 × 5,386.20
4. Step 4: Simplify right side
   9,862.52x = 73,304,781.59
5. Step 5: Solve for x
   x = 73,304,781.59/9,862.52
6. Step 6: Final answer
   x = 7,432.66