Finding the Fourth Proportional to 10,258.01, 14,155.64 and 5,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.01 : 14,155.64 = 5,782.69 : x
2. Step 2: Convert to fraction form
   10,258.01/14,155.64 = 5,782.69/x
3. Step 3: Cross multiply
   10,258.01x = 14,155.64 × 5,782.69
4. Step 4: Simplify right side
   10,258.01x = 81,857,677.87
5. Step 5: Solve for x
   x = 81,857,677.87/10,258.01
6. Step 6: Final answer
   x = 7,979.88