Finding the Fourth Proportional to 10,400.61, 14,353.83 and 5,685.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400.61 : 14,353.83 = 5,685.60 : x
2. Step 2: Convert to fraction form
   10,400.61/14,353.83 = 5,685.60/x
3. Step 3: Cross multiply
   10,400.61x = 14,353.83 × 5,685.60
4. Step 4: Simplify right side
   10,400.61x = 81,610,135.85
5. Step 5: Solve for x
   x = 81,610,135.85/10,400.61
6. Step 6: Final answer
   x = 7,846.67