Finding the Fourth Proportional to 2,002.32, 3,026.16 and 2,002.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.32 : 3,026.16 = 2,002.32 : x
2. Step 2: Convert to fraction form
   2,002.32/3,026.16 = 2,002.32/x
3. Step 3: Cross multiply
   2,002.32x = 3,026.16 × 2,002.32
4. Step 4: Simplify right side
   2,002.32x = 6,059,340.69
5. Step 5: Solve for x
   x = 6,059,340.69/2,002.32
6. Step 6: Final answer
   x = 3,026.16