Finding the Fourth Proportional to 1,008.72, 1,511.78 and 546.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.72 : 1,511.78 = 546.68 : x
2. Step 2: Convert to fraction form
   1,008.72/1,511.78 = 546.68/x
3. Step 3: Cross multiply
   1,008.72x = 1,511.78 × 546.68
4. Step 4: Simplify right side
   1,008.72x = 826,459.89
5. Step 5: Solve for x
   x = 826,459.89/1,008.72
6. Step 6: Final answer
   x = 819.32