Finding the Fourth Proportional to 5,047.96, 7,572.78 and 1,585

Step by Step Solution

1. Step 1: Write the proportion equation
   5,047.96 : 7,572.78 = 1,585 : x
2. Step 2: Convert to fraction form
   5,047.96/7,572.78 = 1,585/x
3. Step 3: Cross multiply
   5,047.96x = 7,572.78 × 1,585
4. Step 4: Simplify right side
   5,047.96x = 12,002,856.30
5. Step 5: Solve for x
   x = 12,002,856.30/5,047.96
6. Step 6: Final answer
   x = 2,377.76