Finding the Fourth Proportional to 9,882.29, 13,637.89 and 5,633.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.29 : 13,637.89 = 5,633.98 : x
2. Step 2: Convert to fraction form
   9,882.29/13,637.89 = 5,633.98/x
3. Step 3: Cross multiply
   9,882.29x = 13,637.89 × 5,633.98
4. Step 4: Simplify right side
   9,882.29x = 76,835,572.45
5. Step 5: Solve for x
   x = 76,835,572.45/9,882.29
6. Step 6: Final answer
   x = 7,775.08