Finding the Fourth Proportional to 2,585.69, 3,876.20 and 941.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.69 : 3,876.20 = 941.07 : x
2. Step 2: Convert to fraction form
   2,585.69/3,876.20 = 941.07/x
3. Step 3: Cross multiply
   2,585.69x = 3,876.20 × 941.07
4. Step 4: Simplify right side
   2,585.69x = 3,647,772.38
5. Step 5: Solve for x
   x = 3,647,772.38/2,585.69
6. Step 6: Final answer
   x = 1,410.75