Finding the Fourth Proportional to 10,332.31, 14,258.55 and 5,856.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,332.31 : 14,258.55 = 5,856.93 : x
2. Step 2: Convert to fraction form
   10,332.31/14,258.55 = 5,856.93/x
3. Step 3: Cross multiply
   10,332.31x = 14,258.55 × 5,856.93
4. Step 4: Simplify right side
   10,332.31x = 83,511,329.25
5. Step 5: Solve for x
   x = 83,511,329.25/10,332.31
6. Step 6: Final answer
   x = 8,082.54