Finding the Fourth Proportional to 760.86, 1,049.31 and 498.42

Step by Step Solution

1. Step 1: Write the proportion equation
   760.86 : 1,049.31 = 498.42 : x
2. Step 2: Convert to fraction form
   760.86/1,049.31 = 498.42/x
3. Step 3: Cross multiply
   760.86x = 1,049.31 × 498.42
4. Step 4: Simplify right side
   760.86x = 522,997.09
5. Step 5: Solve for x
   x = 522,997.09/760.86
6. Step 6: Final answer
   x = 687.38