Finding the Fourth Proportional to 2,122.55, 3,184.52 and 1,026.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122.55 : 3,184.52 = 1,026.78 : x
2. Step 2: Convert to fraction form
   2,122.55/3,184.52 = 1,026.78/x
3. Step 3: Cross multiply
   2,122.55x = 3,184.52 × 1,026.78
4. Step 4: Simplify right side
   2,122.55x = 3,269,784.37
5. Step 5: Solve for x
   x = 3,269,784.37/2,122.55
6. Step 6: Final answer
   x = 1,540.49