Finding the Fourth Proportional to 2,007.34, 3,011.16 and 546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.34 : 3,011.16 = 546.50 : x
2. Step 2: Convert to fraction form
   2,007.34/3,011.16 = 546.50/x
3. Step 3: Cross multiply
   2,007.34x = 3,011.16 × 546.50
4. Step 4: Simplify right side
   2,007.34x = 1,645,598.94
5. Step 5: Solve for x
   x = 1,645,598.94/2,007.34
6. Step 6: Final answer
   x = 819.79