Finding the Fourth Proportional to 10,414.91, 14,372.81 and 5,699.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.91 : 14,372.81 = 5,699.20 : x
2. Step 2: Convert to fraction form
   10,414.91/14,372.81 = 5,699.20/x
3. Step 3: Cross multiply
   10,414.91x = 14,372.81 × 5,699.20
4. Step 4: Simplify right side
   10,414.91x = 81,913,518.75
5. Step 5: Solve for x
   x = 81,913,518.75/10,414.91
6. Step 6: Final answer
   x = 7,865.02