Finding the Fourth Proportional to 10,414.50, 14,372.01 and 5,698.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.50 : 14,372.01 = 5,698.78 : x
2. Step 2: Convert to fraction form
   10,414.50/14,372.01 = 5,698.78/x
3. Step 3: Cross multiply
   10,414.50x = 14,372.01 × 5,698.78
4. Step 4: Simplify right side
   10,414.50x = 81,902,959.08
5. Step 5: Solve for x
   x = 81,902,959.08/10,414.50
6. Step 6: Final answer
   x = 7,864.32