Finding the Fourth Proportional to 2,277.52, 3,414.22 and 1,106.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.52 : 3,414.22 = 1,106.88 : x
2. Step 2: Convert to fraction form
   2,277.52/3,414.22 = 1,106.88/x
3. Step 3: Cross multiply
   2,277.52x = 3,414.22 × 1,106.88
4. Step 4: Simplify right side
   2,277.52x = 3,779,131.83
5. Step 5: Solve for x
   x = 3,779,131.83/2,277.52
6. Step 6: Final answer
   x = 1,659.32