Finding the Fourth Proportional to 1,852.82, 2,557.16 and 1,066.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.82 : 2,557.16 = 1,066.86 : x
2. Step 2: Convert to fraction form
   1,852.82/2,557.16 = 1,066.86/x
3. Step 3: Cross multiply
   1,852.82x = 2,557.16 × 1,066.86
4. Step 4: Simplify right side
   1,852.82x = 2,728,131.72
5. Step 5: Solve for x
   x = 2,728,131.72/1,852.82
6. Step 6: Final answer
   x = 1,472.42