Finding the Fourth Proportional to 2,282.02, 3,406.52 and 2,005.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.02 : 3,406.52 = 2,005.23 : x
2. Step 2: Convert to fraction form
   2,282.02/3,406.52 = 2,005.23/x
3. Step 3: Cross multiply
   2,282.02x = 3,406.52 × 2,005.23
4. Step 4: Simplify right side
   2,282.02x = 6,830,856.61
5. Step 5: Solve for x
   x = 6,830,856.61/2,282.02
6. Step 6: Final answer
   x = 2,993.34