Finding the Fourth Proportional to 2,585.54, 3,876.63 and 941.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.54 : 3,876.63 = 941.78 : x
2. Step 2: Convert to fraction form
   2,585.54/3,876.63 = 941.78/x
3. Step 3: Cross multiply
   2,585.54x = 3,876.63 × 941.78
4. Step 4: Simplify right side
   2,585.54x = 3,650,932.60
5. Step 5: Solve for x
   x = 3,650,932.60/2,585.54
6. Step 6: Final answer
   x = 1,412.06