Finding the Fourth Proportional to 2,004.02, 3,005.28 and 770.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.02 : 3,005.28 = 770.78 : x
2. Step 2: Convert to fraction form
   2,004.02/3,005.28 = 770.78/x
3. Step 3: Cross multiply
   2,004.02x = 3,005.28 × 770.78
4. Step 4: Simplify right side
   2,004.02x = 2,316,409.72
5. Step 5: Solve for x
   x = 2,316,409.72/2,004.02
6. Step 6: Final answer
   x = 1,155.88