Finding the Fourth Proportional to 10,264.80, 14,166.72 and 5,788.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.80 : 14,166.72 = 5,788.80 : x
2. Step 2: Convert to fraction form
   10,264.80/14,166.72 = 5,788.80/x
3. Step 3: Cross multiply
   10,264.80x = 14,166.72 × 5,788.80
4. Step 4: Simplify right side
   10,264.80x = 82,008,308.74
5. Step 5: Solve for x
   x = 82,008,308.74/10,264.80
6. Step 6: Final answer
   x = 7,989.27