Finding the Fourth Proportional to 10,424.05, 14,385.20 and 5,644.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.05 : 14,385.20 = 5,644.00 : x
2. Step 2: Convert to fraction form
   10,424.05/14,385.20 = 5,644.00/x
3. Step 3: Cross multiply
   10,424.05x = 14,385.20 × 5,644.00
4. Step 4: Simplify right side
   10,424.05x = 81,190,007.99
5. Step 5: Solve for x
   x = 81,190,007.99/10,424.05
6. Step 6: Final answer
   x = 7,788.72