Finding the Fourth Proportional to 10,397.98, 14,349.12 and 5,682.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.98 : 14,349.12 = 5,682.22 : x
2. Step 2: Convert to fraction form
   10,397.98/14,349.12 = 5,682.22/x
3. Step 3: Cross multiply
   10,397.98x = 14,349.12 × 5,682.22
4. Step 4: Simplify right side
   10,397.98x = 81,534,856.65
5. Step 5: Solve for x
   x = 81,534,856.65/10,397.98
6. Step 6: Final answer
   x = 7,841.41