Finding the Fourth Proportional to 10,424.32, 14,385.59 and 5,644.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.32 : 14,385.59 = 5,644.32 : x
2. Step 2: Convert to fraction form
   10,424.32/14,385.59 = 5,644.32/x
3. Step 3: Cross multiply
   10,424.32x = 14,385.59 × 5,644.32
4. Step 4: Simplify right side
   10,424.32x = 81,196,873.35
5. Step 5: Solve for x
   x = 81,196,873.35/10,424.32
6. Step 6: Final answer
   x = 7,789.18