Finding the Fourth Proportional to 1,865.18, 2,574.15 and 1,166.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,865.18 : 2,574.15 = 1,166.78 : x
2. Step 2: Convert to fraction form
   1,865.18/2,574.15 = 1,166.78/x
3. Step 3: Cross multiply
   1,865.18x = 2,574.15 × 1,166.78
4. Step 4: Simplify right side
   1,865.18x = 3,003,466.74
5. Step 5: Solve for x
   x = 3,003,466.74/1,865.18
6. Step 6: Final answer
   x = 1,610.28