Finding the Fourth Proportional to 1,585.67, 2,379.42 and 892.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.67 : 2,379.42 = 892.72 : x
2. Step 2: Convert to fraction form
   1,585.67/2,379.42 = 892.72/x
3. Step 3: Cross multiply
   1,585.67x = 2,379.42 × 892.72
4. Step 4: Simplify right side
   1,585.67x = 2,124,155.82
5. Step 5: Solve for x
   x = 2,124,155.82/1,585.67
6. Step 6: Final answer
   x = 1,339.60