Finding the Fourth Proportional to 1,003.22, 1,506.87 and 771.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.22 : 1,506.87 = 771.30 : x
2. Step 2: Convert to fraction form
   1,003.22/1,506.87 = 771.30/x
3. Step 3: Cross multiply
   1,003.22x = 1,506.87 × 771.30
4. Step 4: Simplify right side
   1,003.22x = 1,162,248.83
5. Step 5: Solve for x
   x = 1,162,248.83/1,003.22
6. Step 6: Final answer
   x = 1,158.52