Finding the Fourth Proportional to 2,002.32, 3,002.40 and 770.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.32 : 3,002.40 = 770.04 : x
2. Step 2: Convert to fraction form
   2,002.32/3,002.40 = 770.04/x
3. Step 3: Cross multiply
   2,002.32x = 3,002.40 × 770.04
4. Step 4: Simplify right side
   2,002.32x = 2,311,968.10
5. Step 5: Solve for x
   x = 2,311,968.10/2,002.32
6. Step 6: Final answer
   x = 1,154.64