Finding the Fourth Proportional to 10,598.16, 14,625.60 and 5,882.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.16 : 14,625.60 = 5,882.32 : x
2. Step 2: Convert to fraction form
   10,598.16/14,625.60 = 5,882.32/x
3. Step 3: Cross multiply
   10,598.16x = 14,625.60 × 5,882.32
4. Step 4: Simplify right side
   10,598.16x = 86,032,459.39
5. Step 5: Solve for x
   x = 86,032,459.39/10,598.16
6. Step 6: Final answer
   x = 8,117.68