Finding the Fourth Proportional to 10,120.77, 13,966.61 and 5,644.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.77 : 13,966.61 = 5,644.58 : x
2. Step 2: Convert to fraction form
   10,120.77/13,966.61 = 5,644.58/x
3. Step 3: Cross multiply
   10,120.77x = 13,966.61 × 5,644.58
4. Step 4: Simplify right side
   10,120.77x = 78,835,549.42
5. Step 5: Solve for x
   x = 78,835,549.42/10,120.77
6. Step 6: Final answer
   x = 7,789.48