Finding the Fourth Proportional to 1,471.80, 2,205.78 and 1,123.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,471.80 : 2,205.78 = 1,123.86 : x
2. Step 2: Convert to fraction form
   1,471.80/2,205.78 = 1,123.86/x
3. Step 3: Cross multiply
   1,471.80x = 2,205.78 × 1,123.86
4. Step 4: Simplify right side
   1,471.80x = 2,478,987.91
5. Step 5: Solve for x
   x = 2,478,987.91/1,471.80
6. Step 6: Final answer
   x = 1,684.32