Finding the Fourth Proportional to 10,264.88, 14,166.16 and 5,788.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.88 : 14,166.16 = 5,788.82 : x
2. Step 2: Convert to fraction form
   10,264.88/14,166.16 = 5,788.82/x
3. Step 3: Cross multiply
   10,264.88x = 14,166.16 × 5,788.82
4. Step 4: Simplify right side
   10,264.88x = 82,005,350.33
5. Step 5: Solve for x
   x = 82,005,350.33/10,264.88
6. Step 6: Final answer
   x = 7,988.92