Finding the Fourth Proportional to 10,258.43, 14,156.60 and 5,542.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.43 : 14,156.60 = 5,542.70 : x
2. Step 2: Convert to fraction form
   10,258.43/14,156.60 = 5,542.70/x
3. Step 3: Cross multiply
   10,258.43x = 14,156.60 × 5,542.70
4. Step 4: Simplify right side
   10,258.43x = 78,465,688.32
5. Step 5: Solve for x
   x = 78,465,688.32/10,258.43
6. Step 6: Final answer
   x = 7,648.90