Finding the Fourth Proportional to 13,099.50, 19,645.78 and 5,702.24

Step by Step Solution

1. Step 1: Write the proportion equation
   13,099.50 : 19,645.78 = 5,702.24 : x
2. Step 2: Convert to fraction form
   13,099.50/19,645.78 = 5,702.24/x
3. Step 3: Cross multiply
   13,099.50x = 19,645.78 × 5,702.24
4. Step 4: Simplify right side
   13,099.50x = 112,024,952.55
5. Step 5: Solve for x
   x = 112,024,952.55/13,099.50
6. Step 6: Final answer
   x = 8,551.85