Finding the Fourth Proportional to 2,585.33, 3,876.52 and 1,764.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.33 : 3,876.52 = 1,764.60 : x
2. Step 2: Convert to fraction form
   2,585.33/3,876.52 = 1,764.60/x
3. Step 3: Cross multiply
   2,585.33x = 3,876.52 × 1,764.60
4. Step 4: Simplify right side
   2,585.33x = 6,840,504.12
5. Step 5: Solve for x
   x = 6,840,504.12/2,585.33
6. Step 6: Final answer
   x = 2,645.89