Finding the Fourth Proportional to 10,222.32, 14,107.04 and 5,685.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.32 : 14,107.04 = 5,685.04 : x
2. Step 2: Convert to fraction form
   10,222.32/14,107.04 = 5,685.04/x
3. Step 3: Cross multiply
   10,222.32x = 14,107.04 × 5,685.04
4. Step 4: Simplify right side
   10,222.32x = 80,199,086.68
5. Step 5: Solve for x
   x = 80,199,086.68/10,222.32
6. Step 6: Final answer
   x = 7,845.49