Finding the Fourth Proportional to 559.42, 772.59 and 498.34

Step by Step Solution

1. Step 1: Write the proportion equation
   559.42 : 772.59 = 498.34 : x
2. Step 2: Convert to fraction form
   559.42/772.59 = 498.34/x
3. Step 3: Cross multiply
   559.42x = 772.59 × 498.34
4. Step 4: Simplify right side
   559.42x = 385,012.50
5. Step 5: Solve for x
   x = 385,012.50/559.42
6. Step 6: Final answer
   x = 688.24