Finding the Fourth Proportional to 1,585, 2,379.32 and 1,238.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585 : 2,379.32 = 1,238.72 : x
2. Step 2: Convert to fraction form
   1,585/2,379.32 = 1,238.72/x
3. Step 3: Cross multiply
   1,585x = 2,379.32 × 1,238.72
4. Step 4: Simplify right side
   1,585x = 2,947,311.27
5. Step 5: Solve for x
   x = 2,947,311.27/1,585
6. Step 6: Final answer
   x = 1,859.50