Finding the Fourth Proportional to 10,229.87, 14,117.95 and 5,693.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,229.87 : 14,117.95 = 5,693.55 : x
2. Step 2: Convert to fraction form
   10,229.87/14,117.95 = 5,693.55/x
3. Step 3: Cross multiply
   10,229.87x = 14,117.95 × 5,693.55
4. Step 4: Simplify right side
   10,229.87x = 80,381,254.22
5. Step 5: Solve for x
   x = 80,381,254.22/10,229.87
6. Step 6: Final answer
   x = 7,857.50