Finding the Fourth Proportional to 10,222.10, 15,321.12 and 5,842.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.10 : 15,321.12 = 5,842.58 : x
2. Step 2: Convert to fraction form
   10,222.10/15,321.12 = 5,842.58/x
3. Step 3: Cross multiply
   10,222.10x = 15,321.12 × 5,842.58
4. Step 4: Simplify right side
   10,222.10x = 89,514,869.29
5. Step 5: Solve for x
   x = 89,514,869.29/10,222.10
6. Step 6: Final answer
   x = 8,756.99