Finding the Fourth Proportional to 1,414.72, 2,118.96 and 1,106.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.72 : 2,118.96 = 1,106.08 : x
2. Step 2: Convert to fraction form
   1,414.72/2,118.96 = 1,106.08/x
3. Step 3: Cross multiply
   1,414.72x = 2,118.96 × 1,106.08
4. Step 4: Simplify right side
   1,414.72x = 2,343,739.28
5. Step 5: Solve for x
   x = 2,343,739.28/1,414.72
6. Step 6: Final answer
   x = 1,656.68