Finding the Fourth Proportional to 773.69, 1,159.82 and 498.96

Step by Step Solution

1. Step 1: Write the proportion equation
   773.69 : 1,159.82 = 498.96 : x
2. Step 2: Convert to fraction form
   773.69/1,159.82 = 498.96/x
3. Step 3: Cross multiply
   773.69x = 1,159.82 × 498.96
4. Step 4: Simplify right side
   773.69x = 578,703.16
5. Step 5: Solve for x
   x = 578,703.16/773.69
6. Step 6: Final answer
   x = 747.98