Finding the Fourth Proportional to 10,264.64, 15,401.59 and 5,882.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.64 : 15,401.59 = 5,882.10 : x
2. Step 2: Convert to fraction form
   10,264.64/15,401.59 = 5,882.10/x
3. Step 3: Cross multiply
   10,264.64x = 15,401.59 × 5,882.10
4. Step 4: Simplify right side
   10,264.64x = 90,593,739.80
5. Step 5: Solve for x
   x = 90,593,739.80/10,264.64
6. Step 6: Final answer
   x = 8,825.81