Finding the Fourth Proportional to 2,002.16, 2,762.82 and 1,205.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.16 : 2,762.82 = 1,205.52 : x
2. Step 2: Convert to fraction form
   2,002.16/2,762.82 = 1,205.52/x
3. Step 3: Cross multiply
   2,002.16x = 2,762.82 × 1,205.52
4. Step 4: Simplify right side
   2,002.16x = 3,330,634.77
5. Step 5: Solve for x
   x = 3,330,634.77/2,002.16
6. Step 6: Final answer
   x = 1,663.52