Finding the Fourth Proportional to 10,258.33, 14,156.49 and 5,542.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.33 : 14,156.49 = 5,542.61 : x
2. Step 2: Convert to fraction form
   10,258.33/14,156.49 = 5,542.61/x
3. Step 3: Cross multiply
   10,258.33x = 14,156.49 × 5,542.61
4. Step 4: Simplify right side
   10,258.33x = 78,463,856.54
5. Step 5: Solve for x
   x = 78,463,856.54/10,258.33
6. Step 6: Final answer
   x = 7,648.80