Finding the Fourth Proportional to 1,830.78, 2,747.22 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.78 : 2,747.22 = 776.52 : x
2. Step 2: Convert to fraction form
   1,830.78/2,747.22 = 776.52/x
3. Step 3: Cross multiply
   1,830.78x = 2,747.22 × 776.52
4. Step 4: Simplify right side
   1,830.78x = 2,133,271.27
5. Step 5: Solve for x
   x = 2,133,271.27/1,830.78
6. Step 6: Final answer
   x = 1,165.23