Finding the Fourth Proportional to 10,417.41, 14,376.32 and 5,702.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.41 : 14,376.32 = 5,702.00 : x
2. Step 2: Convert to fraction form
   10,417.41/14,376.32 = 5,702.00/x
3. Step 3: Cross multiply
   10,417.41x = 14,376.32 × 5,702.00
4. Step 4: Simplify right side
   10,417.41x = 81,973,719.01
5. Step 5: Solve for x
   x = 81,973,719.01/10,417.41
6. Step 6: Final answer
   x = 7,868.92