Finding the Fourth Proportional to 1,384.54, 2,076.84 and 772.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.54 : 2,076.84 = 772.15 : x
2. Step 2: Convert to fraction form
   1,384.54/2,076.84 = 772.15/x
3. Step 3: Cross multiply
   1,384.54x = 2,076.84 × 772.15
4. Step 4: Simplify right side
   1,384.54x = 1,603,632.01
5. Step 5: Solve for x
   x = 1,603,632.01/1,384.54
6. Step 6: Final answer
   x = 1,158.24