Finding the Fourth Proportional to 2,003.47, 3,002.90 and 770.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.47 : 3,002.90 = 770.24 : x
2. Step 2: Convert to fraction form
   2,003.47/3,002.90 = 770.24/x
3. Step 3: Cross multiply
   2,003.47x = 3,002.90 × 770.24
4. Step 4: Simplify right side
   2,003.47x = 2,312,963.13
5. Step 5: Solve for x
   x = 2,312,963.13/2,003.47
6. Step 6: Final answer
   x = 1,154.48