Finding the Fourth Proportional to 10,417.94, 14,376.37 and 5,702.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.94 : 14,376.37 = 5,702.26 : x
2. Step 2: Convert to fraction form
   10,417.94/14,376.37 = 5,702.26/x
3. Step 3: Cross multiply
   10,417.94x = 14,376.37 × 5,702.26
4. Step 4: Simplify right side
   10,417.94x = 81,977,799.60
5. Step 5: Solve for x
   x = 81,977,799.60/10,417.94
6. Step 6: Final answer
   x = 7,868.91