Finding the Fourth Proportional to 852.72, 1,176.59 and 498.62

Step by Step Solution

1. Step 1: Write the proportion equation
   852.72 : 1,176.59 = 498.62 : x
2. Step 2: Convert to fraction form
   852.72/1,176.59 = 498.62/x
3. Step 3: Cross multiply
   852.72x = 1,176.59 × 498.62
4. Step 4: Simplify right side
   852.72x = 586,671.31
5. Step 5: Solve for x
   x = 586,671.31/852.72
6. Step 6: Final answer
   x = 688.00