Finding the Fourth Proportional to 2,276.65, 3,414.50 and 1,106.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,276.65 : 3,414.50 = 1,106.15 : x
2. Step 2: Convert to fraction form
   2,276.65/3,414.50 = 1,106.15/x
3. Step 3: Cross multiply
   2,276.65x = 3,414.50 × 1,106.15
4. Step 4: Simplify right side
   2,276.65x = 3,776,943.64
5. Step 5: Solve for x
   x = 3,776,943.64/2,276.65
6. Step 6: Final answer
   x = 1,658.99