Finding the Fourth Proportional to 2,541.31, 3,812.16 and 809.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.31 : 3,812.16 = 809.93 : x
2. Step 2: Convert to fraction form
   2,541.31/3,812.16 = 809.93/x
3. Step 3: Cross multiply
   2,541.31x = 3,812.16 × 809.93
4. Step 4: Simplify right side
   2,541.31x = 3,087,582.75
5. Step 5: Solve for x
   x = 3,087,582.75/2,541.31
6. Step 6: Final answer
   x = 1,214.96