Finding the Fourth Proportional to 2,275.50, 3,414.06 and 1,122.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,275.50 : 3,414.06 = 1,122.06 : x
2. Step 2: Convert to fraction form
   2,275.50/3,414.06 = 1,122.06/x
3. Step 3: Cross multiply
   2,275.50x = 3,414.06 × 1,122.06
4. Step 4: Simplify right side
   2,275.50x = 3,830,780.16
5. Step 5: Solve for x
   x = 3,830,780.16/2,275.50
6. Step 6: Final answer
   x = 1,683.49