Finding the Fourth Proportional to 10,160.86, 14,022.68 and 5,685.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.86 : 14,022.68 = 5,685.02 : x
2. Step 2: Convert to fraction form
   10,160.86/14,022.68 = 5,685.02/x
3. Step 3: Cross multiply
   10,160.86x = 14,022.68 × 5,685.02
4. Step 4: Simplify right side
   10,160.86x = 79,719,216.25
5. Step 5: Solve for x
   x = 79,719,216.25/10,160.86
6. Step 6: Final answer
   x = 7,845.72