Finding the Fourth Proportional to 1,002.34, 1,503.57 and 385.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.34 : 1,503.57 = 385.96 : x
2. Step 2: Convert to fraction form
   1,002.34/1,503.57 = 385.96/x
3. Step 3: Cross multiply
   1,002.34x = 1,503.57 × 385.96
4. Step 4: Simplify right side
   1,002.34x = 580,317.88
5. Step 5: Solve for x
   x = 580,317.88/1,002.34
6. Step 6: Final answer
   x = 578.96