Finding the Fourth Proportional to 1,002.65, 1,502.55 and 568.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.65 : 1,502.55 = 568.89 : x
2. Step 2: Convert to fraction form
   1,002.65/1,502.55 = 568.89/x
3. Step 3: Cross multiply
   1,002.65x = 1,502.55 × 568.89
4. Step 4: Simplify right side
   1,002.65x = 854,785.67
5. Step 5: Solve for x
   x = 854,785.67/1,002.65
6. Step 6: Final answer
   x = 852.53