Finding the Fourth Proportional to 8,824.56, 12,176.52 and 5,685

Step by Step Solution

1. Step 1: Write the proportion equation
   8,824.56 : 12,176.52 = 5,685 : x
2. Step 2: Convert to fraction form
   8,824.56/12,176.52 = 5,685/x
3. Step 3: Cross multiply
   8,824.56x = 12,176.52 × 5,685
4. Step 4: Simplify right side
   8,824.56x = 69,223,516.20
5. Step 5: Solve for x
   x = 69,223,516.20/8,824.56
6. Step 6: Final answer
   x = 7,844.42