Finding the Fourth Proportional to 2,766.56, 3,817.89 and 1,587.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,766.56 : 3,817.89 = 1,587.74 : x
2. Step 2: Convert to fraction form
   2,766.56/3,817.89 = 1,587.74/x
3. Step 3: Cross multiply
   2,766.56x = 3,817.89 × 1,587.74
4. Step 4: Simplify right side
   2,766.56x = 6,061,816.67
5. Step 5: Solve for x
   x = 6,061,816.67/2,766.56
6. Step 6: Final answer
   x = 2,191.10