Finding the Fourth Proportional to 1,585.37, 2,376.69 and 854.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.37 : 2,376.69 = 854.10 : x
2. Step 2: Convert to fraction form
   1,585.37/2,376.69 = 854.10/x
3. Step 3: Cross multiply
   1,585.37x = 2,376.69 × 854.10
4. Step 4: Simplify right side
   1,585.37x = 2,029,930.93
5. Step 5: Solve for x
   x = 2,029,930.93/1,585.37
6. Step 6: Final answer
   x = 1,280.41