Finding the Fourth Proportional to 1,002.60, 1,503.50 and 386.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.60 : 1,503.50 = 386.33 : x
2. Step 2: Convert to fraction form
   1,002.60/1,503.50 = 386.33/x
3. Step 3: Cross multiply
   1,002.60x = 1,503.50 × 386.33
4. Step 4: Simplify right side
   1,002.60x = 580,837.71
5. Step 5: Solve for x
   x = 580,837.71/1,002.60
6. Step 6: Final answer
   x = 579.33