Finding the Fourth Proportional to 2,585, 3,877.50 and 1,046

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585 : 3,877.50 = 1,046 : x
2. Step 2: Convert to fraction form
   2,585/3,877.50 = 1,046/x
3. Step 3: Cross multiply
   2,585x = 3,877.50 × 1,046
4. Step 4: Simplify right side
   2,585x = 4,055,865
5. Step 5: Solve for x
   x = 4,055,865/2,585
6. Step 6: Final answer
   x = 1,569