Finding the Fourth Proportional to 1,084.62, 1,624.74 and 498.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.62 : 1,624.74 = 498.80 : x
2. Step 2: Convert to fraction form
   1,084.62/1,624.74 = 498.80/x
3. Step 3: Cross multiply
   1,084.62x = 1,624.74 × 498.80
4. Step 4: Simplify right side
   1,084.62x = 810,426.77
5. Step 5: Solve for x
   x = 810,426.77/1,084.62
6. Step 6: Final answer
   x = 747.20