Finding the Fourth Proportional to 10,400.50, 14,352.74 and 5,684.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400.50 : 14,352.74 = 5,684.77 : x
2. Step 2: Convert to fraction form
   10,400.50/14,352.74 = 5,684.77/x
3. Step 3: Cross multiply
   10,400.50x = 14,352.74 × 5,684.77
4. Step 4: Simplify right side
   10,400.50x = 81,592,025.77
5. Step 5: Solve for x
   x = 81,592,025.77/10,400.50
6. Step 6: Final answer
   x = 7,845.01