Finding the Fourth Proportional to 14,460.98, 21,696.86 and 5,702.00

Step by Step Solution

1. Step 1: Write the proportion equation
   14,460.98 : 21,696.86 = 5,702.00 : x
2. Step 2: Convert to fraction form
   14,460.98/21,696.86 = 5,702.00/x
3. Step 3: Cross multiply
   14,460.98x = 21,696.86 × 5,702.00
4. Step 4: Simplify right side
   14,460.98x = 123,715,401.49
5. Step 5: Solve for x
   x = 123,715,401.49/14,460.98
6. Step 6: Final answer
   x = 8,555.12