Finding the Fourth Proportional to 2,465.94, 3,697.38 and 822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.94 : 3,697.38 = 822.06 : x
2. Step 2: Convert to fraction form
   2,465.94/3,697.38 = 822.06/x
3. Step 3: Cross multiply
   2,465.94x = 3,697.38 × 822.06
4. Step 4: Simplify right side
   2,465.94x = 3,039,468.20
5. Step 5: Solve for x
   x = 3,039,468.20/2,465.94
6. Step 6: Final answer
   x = 1,232.58