Finding the Fourth Proportional to 1,852.88, 2,557.27 and 1,066.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.88 : 2,557.27 = 1,066.77 : x
2. Step 2: Convert to fraction form
   1,852.88/2,557.27 = 1,066.77/x
3. Step 3: Cross multiply
   1,852.88x = 2,557.27 × 1,066.77
4. Step 4: Simplify right side
   1,852.88x = 2,728,020.25
5. Step 5: Solve for x
   x = 2,728,020.25/1,852.88
6. Step 6: Final answer
   x = 1,472.32