Finding the Fourth Proportional to 1,182.74, 1,633.97 and 1,100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.74 : 1,633.97 = 1,100.72 : x
2. Step 2: Convert to fraction form
   1,182.74/1,633.97 = 1,100.72/x
3. Step 3: Cross multiply
   1,182.74x = 1,633.97 × 1,100.72
4. Step 4: Simplify right side
   1,182.74x = 1,798,550.30
5. Step 5: Solve for x
   x = 1,798,550.30/1,182.74
6. Step 6: Final answer
   x = 1,520.67