Finding the Fourth Proportional to 10,414.04, 14,371.59 and 5,698.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.04 : 14,371.59 = 5,698.32 : x
2. Step 2: Convert to fraction form
   10,414.04/14,371.59 = 5,698.32/x
3. Step 3: Cross multiply
   10,414.04x = 14,371.59 × 5,698.32
4. Step 4: Simplify right side
   10,414.04x = 81,893,886.20
5. Step 5: Solve for x
   x = 81,893,886.20/10,414.04
6. Step 6: Final answer
   x = 7,863.80