Finding the Fourth Proportional to 1,002.06, 1,504.91 and 872.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.06 : 1,504.91 = 872.96 : x
2. Step 2: Convert to fraction form
   1,002.06/1,504.91 = 872.96/x
3. Step 3: Cross multiply
   1,002.06x = 1,504.91 × 872.96
4. Step 4: Simplify right side
   1,002.06x = 1,313,714.34
5. Step 5: Solve for x
   x = 1,313,714.34/1,002.06
6. Step 6: Final answer
   x = 1,311.01