Finding the Fourth Proportional to 10,424.00, 14,385.14 and 5,643.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.00 : 14,385.14 = 5,643.95 : x
2. Step 2: Convert to fraction form
   10,424.00/14,385.14 = 5,643.95/x
3. Step 3: Cross multiply
   10,424.00x = 14,385.14 × 5,643.95
4. Step 4: Simplify right side
   10,424.00x = 81,188,910.76
5. Step 5: Solve for x
   x = 81,188,910.76/10,424.00
6. Step 6: Final answer
   x = 7,788.65