Finding the Fourth Proportional to 2,585.89, 3,877.56 and 1,845.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.89 : 3,877.56 = 1,845.10 : x
2. Step 2: Convert to fraction form
   2,585.89/3,877.56 = 1,845.10/x
3. Step 3: Cross multiply
   2,585.89x = 3,877.56 × 1,845.10
4. Step 4: Simplify right side
   2,585.89x = 7,154,485.96
5. Step 5: Solve for x
   x = 7,154,485.96/2,585.89
6. Step 6: Final answer
   x = 2,766.74