Finding the Fourth Proportional to 2,465.82, 3,697.92 and 821.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.82 : 3,697.92 = 821.93 : x
2. Step 2: Convert to fraction form
   2,465.82/3,697.92 = 821.93/x
3. Step 3: Cross multiply
   2,465.82x = 3,697.92 × 821.93
4. Step 4: Simplify right side
   2,465.82x = 3,039,412.90
5. Step 5: Solve for x
   x = 3,039,412.90/2,465.82
6. Step 6: Final answer
   x = 1,232.62