Finding the Fourth Proportional to 774.82, 1,156.69 and 747.82

Step by Step Solution

1. Step 1: Write the proportion equation
   774.82 : 1,156.69 = 747.82 : x
2. Step 2: Convert to fraction form
   774.82/1,156.69 = 747.82/x
3. Step 3: Cross multiply
   774.82x = 1,156.69 × 747.82
4. Step 4: Simplify right side
   774.82x = 864,995.92
5. Step 5: Solve for x
   x = 864,995.92/774.82
6. Step 6: Final answer
   x = 1,116.38