Finding the Fourth Proportional to 2,577.62, 3,861.27 and 1,189.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.62 : 3,861.27 = 1,189.06 : x
2. Step 2: Convert to fraction form
   2,577.62/3,861.27 = 1,189.06/x
3. Step 3: Cross multiply
   2,577.62x = 3,861.27 × 1,189.06
4. Step 4: Simplify right side
   2,577.62x = 4,591,281.71
5. Step 5: Solve for x
   x = 4,591,281.71/2,577.62
6. Step 6: Final answer
   x = 1,781.21