Finding the Fourth Proportional to 1,002.51, 1,503.83 and 568.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.51 : 1,503.83 = 568.76 : x
2. Step 2: Convert to fraction form
   1,002.51/1,503.83 = 568.76/x
3. Step 3: Cross multiply
   1,002.51x = 1,503.83 × 568.76
4. Step 4: Simplify right side
   1,002.51x = 855,312.25
5. Step 5: Solve for x
   x = 855,312.25/1,002.51
6. Step 6: Final answer
   x = 853.17