Finding the Fourth Proportional to 2,003.76, 2,766.42 and 1,585.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.76 : 2,766.42 = 1,585.80 : x
2. Step 2: Convert to fraction form
   2,003.76/2,766.42 = 1,585.80/x
3. Step 3: Cross multiply
   2,003.76x = 2,766.42 × 1,585.80
4. Step 4: Simplify right side
   2,003.76x = 4,386,988.84
5. Step 5: Solve for x
   x = 4,386,988.84/2,003.76
6. Step 6: Final answer
   x = 2,189.38