Finding the Fourth Proportional to 10,298.01, 14,211.32 and 5,822.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.01 : 14,211.32 = 5,822.20 : x
2. Step 2: Convert to fraction form
   10,298.01/14,211.32 = 5,822.20/x
3. Step 3: Cross multiply
   10,298.01x = 14,211.32 × 5,822.20
4. Step 4: Simplify right side
   10,298.01x = 82,741,147.30
5. Step 5: Solve for x
   x = 82,741,147.30/10,298.01
6. Step 6: Final answer
   x = 8,034.67