Finding the Fourth Proportional to 10,598.40, 14,626.16 and 5,882.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.40 : 14,626.16 = 5,882.76 : x
2. Step 2: Convert to fraction form
   10,598.40/14,626.16 = 5,882.76/x
3. Step 3: Cross multiply
   10,598.40x = 14,626.16 × 5,882.76
4. Step 4: Simplify right side
   10,598.40x = 86,042,189.00
5. Step 5: Solve for x
   x = 86,042,189.00/10,598.40
6. Step 6: Final answer
   x = 8,118.41