Finding the Fourth Proportional to 1,856.16, 2,561.27 and 1,110.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.16 : 2,561.27 = 1,110.02 : x
2. Step 2: Convert to fraction form
   1,856.16/2,561.27 = 1,110.02/x
3. Step 3: Cross multiply
   1,856.16x = 2,561.27 × 1,110.02
4. Step 4: Simplify right side
   1,856.16x = 2,843,042.57
5. Step 5: Solve for x
   x = 2,843,042.57/1,856.16
6. Step 6: Final answer
   x = 1,531.68