Finding the Fourth Proportional to 2,542.01, 3,813.15 and 810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.01 : 3,813.15 = 810.50 : x
2. Step 2: Convert to fraction form
   2,542.01/3,813.15 = 810.50/x
3. Step 3: Cross multiply
   2,542.01x = 3,813.15 × 810.50
4. Step 4: Simplify right side
   2,542.01x = 3,090,558.08
5. Step 5: Solve for x
   x = 3,090,558.08/2,542.01
6. Step 6: Final answer
   x = 1,215.79