Finding the Fourth Proportional to 1,777.81, 2,454.59 and 1,149.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.81 : 2,454.59 = 1,149.86 : x
2. Step 2: Convert to fraction form
   1,777.81/2,454.59 = 1,149.86/x
3. Step 3: Cross multiply
   1,777.81x = 2,454.59 × 1,149.86
4. Step 4: Simplify right side
   1,777.81x = 2,822,434.86
5. Step 5: Solve for x
   x = 2,822,434.86/1,777.81
6. Step 6: Final answer
   x = 1,587.59