Finding the Fourth Proportional to 10,258.64, 14,155.84 and 5,782.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.64 : 14,155.84 = 5,782.28 : x
2. Step 2: Convert to fraction form
   10,258.64/14,155.84 = 5,782.28/x
3. Step 3: Cross multiply
   10,258.64x = 14,155.84 × 5,782.28
4. Step 4: Simplify right side
   10,258.64x = 81,853,030.52
5. Step 5: Solve for x
   x = 81,853,030.52/10,258.64
6. Step 6: Final answer
   x = 7,978.94