Finding the Fourth Proportional to 1,559.76, 2,152.50 and 861.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.76 : 2,152.50 = 861.16 : x
2. Step 2: Convert to fraction form
   1,559.76/2,152.50 = 861.16/x
3. Step 3: Cross multiply
   1,559.76x = 2,152.50 × 861.16
4. Step 4: Simplify right side
   1,559.76x = 1,853,646.90
5. Step 5: Solve for x
   x = 1,853,646.90/1,559.76
6. Step 6: Final answer
   x = 1,188.42