Finding the Fourth Proportional to 1,277.55, 1,906.72 and 1,123.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.55 : 1,906.72 = 1,123.95 : x
2. Step 2: Convert to fraction form
   1,277.55/1,906.72 = 1,123.95/x
3. Step 3: Cross multiply
   1,277.55x = 1,906.72 × 1,123.95
4. Step 4: Simplify right side
   1,277.55x = 2,143,055.13
5. Step 5: Solve for x
   x = 2,143,055.13/1,277.55
6. Step 6: Final answer
   x = 1,677.47