Finding the Fourth Proportional to 1,036.78, 1,432.12 and 771.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.78 : 1,432.12 = 771.82 : x
2. Step 2: Convert to fraction form
   1,036.78/1,432.12 = 771.82/x
3. Step 3: Cross multiply
   1,036.78x = 1,432.12 × 771.82
4. Step 4: Simplify right side
   1,036.78x = 1,105,338.86
5. Step 5: Solve for x
   x = 1,105,338.86/1,036.78
6. Step 6: Final answer
   x = 1,066.13