Finding the Fourth Proportional to 1,009.42, 1,512.78 and 546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.42 : 1,512.78 = 546.50 : x
2. Step 2: Convert to fraction form
   1,009.42/1,512.78 = 546.50/x
3. Step 3: Cross multiply
   1,009.42x = 1,512.78 × 546.50
4. Step 4: Simplify right side
   1,009.42x = 826,734.27
5. Step 5: Solve for x
   x = 826,734.27/1,009.42
6. Step 6: Final answer
   x = 819.02