Finding the Fourth Proportional to 2,066.79, 3,100.14 and 506.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.79 : 3,100.14 = 506.81 : x
2. Step 2: Convert to fraction form
   2,066.79/3,100.14 = 506.81/x
3. Step 3: Cross multiply
   2,066.79x = 3,100.14 × 506.81
4. Step 4: Simplify right side
   2,066.79x = 1,571,166.45
5. Step 5: Solve for x
   x = 1,571,166.45/2,066.79
6. Step 6: Final answer
   x = 760.20