Finding the Fourth Proportional to 2,585.38, 3,875.75 and 940.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.38 : 3,875.75 = 940.76 : x
2. Step 2: Convert to fraction form
   2,585.38/3,875.75 = 940.76/x
3. Step 3: Cross multiply
   2,585.38x = 3,875.75 × 940.76
4. Step 4: Simplify right side
   2,585.38x = 3,646,171.64
5. Step 5: Solve for x
   x = 3,646,171.64/2,585.38
6. Step 6: Final answer
   x = 1,410.31