Finding the Fourth Proportional to 1,182.89, 1,761.72 and 1,106.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.89 : 1,761.72 = 1,106.95 : x
2. Step 2: Convert to fraction form
   1,182.89/1,761.72 = 1,106.95/x
3. Step 3: Cross multiply
   1,182.89x = 1,761.72 × 1,106.95
4. Step 4: Simplify right side
   1,182.89x = 1,950,135.95
5. Step 5: Solve for x
   x = 1,950,135.95/1,182.89
6. Step 6: Final answer
   x = 1,648.62