Finding the Fourth Proportional to 9,898.27, 13,659.83 and 5,649.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,898.27 : 13,659.83 = 5,649.24 : x
2. Step 2: Convert to fraction form
   9,898.27/13,659.83 = 5,649.24/x
3. Step 3: Cross multiply
   9,898.27x = 13,659.83 × 5,649.24
4. Step 4: Simplify right side
   9,898.27x = 77,167,720.90
5. Step 5: Solve for x
   x = 77,167,720.90/9,898.27
6. Step 6: Final answer
   x = 7,796.08