Finding the Fourth Proportional to 10,258.85, 14,157.38 and 5,782.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.85 : 14,157.38 = 5,782.83 : x
2. Step 2: Convert to fraction form
   10,258.85/14,157.38 = 5,782.83/x
3. Step 3: Cross multiply
   10,258.85x = 14,157.38 × 5,782.83
4. Step 4: Simplify right side
   10,258.85x = 81,869,683.15
5. Step 5: Solve for x
   x = 81,869,683.15/10,258.85
6. Step 6: Final answer
   x = 7,980.39