Finding the Fourth Proportional to 10,296.52, 14,211.30 and 5,820.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.52 : 14,211.30 = 5,820.46 : x
2. Step 2: Convert to fraction form
   10,296.52/14,211.30 = 5,820.46/x
3. Step 3: Cross multiply
   10,296.52x = 14,211.30 × 5,820.46
4. Step 4: Simplify right side
   10,296.52x = 82,716,303.20
5. Step 5: Solve for x
   x = 82,716,303.20/10,296.52
6. Step 6: Final answer
   x = 8,033.42