Finding the Fourth Proportional to 5,429.10, 8,155.80 and 5,222.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,429.10 : 8,155.80 = 5,222.55 : x
2. Step 2: Convert to fraction form
   5,429.10/8,155.80 = 5,222.55/x
3. Step 3: Cross multiply
   5,429.10x = 8,155.80 × 5,222.55
4. Step 4: Simplify right side
   5,429.10x = 42,594,073.29
5. Step 5: Solve for x
   x = 42,594,073.29/5,429.10
6. Step 6: Final answer
   x = 7,845.51