Finding the Fourth Proportional to 1,852.86, 2,556.78 and 1,066.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.86 : 2,556.78 = 1,066.80 : x
2. Step 2: Convert to fraction form
   1,852.86/2,556.78 = 1,066.80/x
3. Step 3: Cross multiply
   1,852.86x = 2,556.78 × 1,066.80
4. Step 4: Simplify right side
   1,852.86x = 2,727,572.90
5. Step 5: Solve for x
   x = 2,727,572.90/1,852.86
6. Step 6: Final answer
   x = 1,472.09