Finding the Fourth Proportional to 2,066.42, 3,099.56 and 506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.42 : 3,099.56 = 506.42 : x
2. Step 2: Convert to fraction form
   2,066.42/3,099.56 = 506.42/x
3. Step 3: Cross multiply
   2,066.42x = 3,099.56 × 506.42
4. Step 4: Simplify right side
   2,066.42x = 1,569,679.18
5. Step 5: Solve for x
   x = 1,569,679.18/2,066.42
6. Step 6: Final answer
   x = 759.61