Finding the Fourth Proportional to 10,296.59, 14,209.88 and 5,820.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.59 : 14,209.88 = 5,820.21 : x
2. Step 2: Convert to fraction form
   10,296.59/14,209.88 = 5,820.21/x
3. Step 3: Cross multiply
   10,296.59x = 14,209.88 × 5,820.21
4. Step 4: Simplify right side
   10,296.59x = 82,704,456.57
5. Step 5: Solve for x
   x = 82,704,456.57/10,296.59
6. Step 6: Final answer
   x = 8,032.22