Finding the Fourth Proportional to 2,123.96, 3,185.94 and 585.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.96 : 3,185.94 = 585.08 : x
2. Step 2: Convert to fraction form
   2,123.96/3,185.94 = 585.08/x
3. Step 3: Cross multiply
   2,123.96x = 3,185.94 × 585.08
4. Step 4: Simplify right side
   2,123.96x = 1,864,029.78
5. Step 5: Solve for x
   x = 1,864,029.78/2,123.96
6. Step 6: Final answer
   x = 877.62