Finding the Fourth Proportional to 2,582.10, 3,875.04 and 938.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.10 : 3,875.04 = 938.78 : x
2. Step 2: Convert to fraction form
   2,582.10/3,875.04 = 938.78/x
3. Step 3: Cross multiply
   2,582.10x = 3,875.04 × 938.78
4. Step 4: Simplify right side
   2,582.10x = 3,637,810.05
5. Step 5: Solve for x
   x = 3,637,810.05/2,582.10
6. Step 6: Final answer
   x = 1,408.86