Finding the Fourth Proportional to 2,459.72, 3,690.16 and 816.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459.72 : 3,690.16 = 816.23 : x
2. Step 2: Convert to fraction form
   2,459.72/3,690.16 = 816.23/x
3. Step 3: Cross multiply
   2,459.72x = 3,690.16 × 816.23
4. Step 4: Simplify right side
   2,459.72x = 3,012,026.48
5. Step 5: Solve for x
   x = 3,012,026.48/2,459.72
6. Step 6: Final answer
   x = 1,224.54