Finding the Fourth Proportional to 1,861.89, 2,569.34 and 1,022.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,861.89 : 2,569.34 = 1,022.57 : x
2. Step 2: Convert to fraction form
   1,861.89/2,569.34 = 1,022.57/x
3. Step 3: Cross multiply
   1,861.89x = 2,569.34 × 1,022.57
4. Step 4: Simplify right side
   1,861.89x = 2,627,319.71
5. Step 5: Solve for x
   x = 2,627,319.71/1,861.89
6. Step 6: Final answer
   x = 1,411.10