Finding the Fourth Proportional to 10,400.96, 14,353.25 and 5,685.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400.96 : 14,353.25 = 5,685.24 : x
2. Step 2: Convert to fraction form
   10,400.96/14,353.25 = 5,685.24/x
3. Step 3: Cross multiply
   10,400.96x = 14,353.25 × 5,685.24
4. Step 4: Simplify right side
   10,400.96x = 81,601,642.60
5. Step 5: Solve for x
   x = 81,601,642.60/10,400.96
6. Step 6: Final answer
   x = 7,845.59