Finding the Fourth Proportional to 2,113.50, 3,171.60 and 1,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.50 : 3,171.60 = 1,627.50 : x
2. Step 2: Convert to fraction form
   2,113.50/3,171.60 = 1,627.50/x
3. Step 3: Cross multiply
   2,113.50x = 3,171.60 × 1,627.50
4. Step 4: Simplify right side
   2,113.50x = 5,161,779
5. Step 5: Solve for x
   x = 5,161,779/2,113.50
6. Step 6: Final answer
   x = 2,442.29