Finding the Fourth Proportional to 2,764.73, 3,815.69 and 1,585.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,764.73 : 3,815.69 = 1,585.57 : x
2. Step 2: Convert to fraction form
   2,764.73/3,815.69 = 1,585.57/x
3. Step 3: Cross multiply
   2,764.73x = 3,815.69 × 1,585.57
4. Step 4: Simplify right side
   2,764.73x = 6,050,043.59
5. Step 5: Solve for x
   x = 6,050,043.59/2,764.73
6. Step 6: Final answer
   x = 2,188.29