Finding the Fourth Proportional to 1,007.78, 1,392.47 and 832.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.78 : 1,392.47 = 832.82 : x
2. Step 2: Convert to fraction form
   1,007.78/1,392.47 = 832.82/x
3. Step 3: Cross multiply
   1,007.78x = 1,392.47 × 832.82
4. Step 4: Simplify right side
   1,007.78x = 1,159,665.74
5. Step 5: Solve for x
   x = 1,159,665.74/1,007.78
6. Step 6: Final answer
   x = 1,150.72