Finding the Fourth Proportional to 9,891.99, 13,644.60 and 5,700.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891.99 : 13,644.60 = 5,700.24 : x
2. Step 2: Convert to fraction form
   9,891.99/13,644.60 = 5,700.24/x
3. Step 3: Cross multiply
   9,891.99x = 13,644.60 × 5,700.24
4. Step 4: Simplify right side
   9,891.99x = 77,777,494.70
5. Step 5: Solve for x
   x = 77,777,494.70/9,891.99
6. Step 6: Final answer
   x = 7,862.67