Finding the Fourth Proportional to 2,003.32, 3,002.92 and 770.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.32 : 3,002.92 = 770.41 : x
2. Step 2: Convert to fraction form
   2,003.32/3,002.92 = 770.41/x
3. Step 3: Cross multiply
   2,003.32x = 3,002.92 × 770.41
4. Step 4: Simplify right side
   2,003.32x = 2,313,479.60
5. Step 5: Solve for x
   x = 2,313,479.60/2,003.32
6. Step 6: Final answer
   x = 1,154.82