Finding the Fourth Proportional to 10,258.59, 14,156.87 and 5,542.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.59 : 14,156.87 = 5,542.87 : x
2. Step 2: Convert to fraction form
   10,258.59/14,156.87 = 5,542.87/x
3. Step 3: Cross multiply
   10,258.59x = 14,156.87 × 5,542.87
4. Step 4: Simplify right side
   10,258.59x = 78,469,690.02
5. Step 5: Solve for x
   x = 78,469,690.02/10,258.59
6. Step 6: Final answer
   x = 7,649.17