Finding the Fourth Proportional to 5,096.27, 7,641.43 and 1,585.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.27 : 7,641.43 = 1,585.33 : x
2. Step 2: Convert to fraction form
   5,096.27/7,641.43 = 1,585.33/x
3. Step 3: Cross multiply
   5,096.27x = 7,641.43 × 1,585.33
4. Step 4: Simplify right side
   5,096.27x = 12,114,165.16
5. Step 5: Solve for x
   x = 12,114,165.16/5,096.27
6. Step 6: Final answer
   x = 2,377.06