Finding the Fourth Proportional to 2,002.98, 3,002.40 and 770.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.98 : 3,002.40 = 770.07 : x
2. Step 2: Convert to fraction form
   2,002.98/3,002.40 = 770.07/x
3. Step 3: Cross multiply
   2,002.98x = 3,002.40 × 770.07
4. Step 4: Simplify right side
   2,002.98x = 2,312,058.17
5. Step 5: Solve for x
   x = 2,312,058.17/2,002.98
6. Step 6: Final answer
   x = 1,154.31