Finding the Fourth Proportional to 2,003.08, 3,005.02 and 770.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.08 : 3,005.02 = 770.52 : x
2. Step 2: Convert to fraction form
   2,003.08/3,005.02 = 770.52/x
3. Step 3: Cross multiply
   2,003.08x = 3,005.02 × 770.52
4. Step 4: Simplify right side
   2,003.08x = 2,315,428.01
5. Step 5: Solve for x
   x = 2,315,428.01/2,003.08
6. Step 6: Final answer
   x = 1,155.93