Finding the Fourth Proportional to 1,875.16, 2,587.20 and 1,166.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,875.16 : 2,587.20 = 1,166.82 : x
2. Step 2: Convert to fraction form
   1,875.16/2,587.20 = 1,166.82/x
3. Step 3: Cross multiply
   1,875.16x = 2,587.20 × 1,166.82
4. Step 4: Simplify right side
   1,875.16x = 3,018,796.70
5. Step 5: Solve for x
   x = 3,018,796.70/1,875.16
6. Step 6: Final answer
   x = 1,609.89