Finding the Fourth Proportional to 1,825.15, 2,738.78 and 770.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.15 : 2,738.78 = 770.88 : x
2. Step 2: Convert to fraction form
   1,825.15/2,738.78 = 770.88/x
3. Step 3: Cross multiply
   1,825.15x = 2,738.78 × 770.88
4. Step 4: Simplify right side
   1,825.15x = 2,111,280.03
5. Step 5: Solve for x
   x = 2,111,280.03/1,825.15
6. Step 6: Final answer
   x = 1,156.77