Finding the Fourth Proportional to 7,159.42, 9,868.56 and 5,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,159.42 : 9,868.56 = 5,644.50 : x
2. Step 2: Convert to fraction form
   7,159.42/9,868.56 = 5,644.50/x
3. Step 3: Cross multiply
   7,159.42x = 9,868.56 × 5,644.50
4. Step 4: Simplify right side
   7,159.42x = 55,703,086.92
5. Step 5: Solve for x
   x = 55,703,086.92/7,159.42
6. Step 6: Final answer
   x = 7,780.39