Finding the Fourth Proportional to 10,598.54, 14,626.04 and 5,882.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.54 : 14,626.04 = 5,882.83 : x
2. Step 2: Convert to fraction form
   10,598.54/14,626.04 = 5,882.83/x
3. Step 3: Cross multiply
   10,598.54x = 14,626.04 × 5,882.83
4. Step 4: Simplify right side
   10,598.54x = 86,042,440.91
5. Step 5: Solve for x
   x = 86,042,440.91/10,598.54
6. Step 6: Final answer
   x = 8,118.33