Finding the Fourth Proportional to 1,002.03, 1,501.62 and 785.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.03 : 1,501.62 = 785.35 : x
2. Step 2: Convert to fraction form
   1,002.03/1,501.62 = 785.35/x
3. Step 3: Cross multiply
   1,002.03x = 1,501.62 × 785.35
4. Step 4: Simplify right side
   1,002.03x = 1,179,297.27
5. Step 5: Solve for x
   x = 1,179,297.27/1,002.03
6. Step 6: Final answer
   x = 1,176.91