Finding the Fourth Proportional to 10,598.16, 14,624.82 and 5,882.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.16 : 14,624.82 = 5,882.16 : x
2. Step 2: Convert to fraction form
   10,598.16/14,624.82 = 5,882.16/x
3. Step 3: Cross multiply
   10,598.16x = 14,624.82 × 5,882.16
4. Step 4: Simplify right side
   10,598.16x = 86,025,531.21
5. Step 5: Solve for x
   x = 86,025,531.21/10,598.16
6. Step 6: Final answer
   x = 8,117.03