Finding the Fourth Proportional to 2,070.68, 3,105.92 and 510.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,070.68 : 3,105.92 = 510.69 : x
2. Step 2: Convert to fraction form
   2,070.68/3,105.92 = 510.69/x
3. Step 3: Cross multiply
   2,070.68x = 3,105.92 × 510.69
4. Step 4: Simplify right side
   2,070.68x = 1,586,162.28
5. Step 5: Solve for x
   x = 1,586,162.28/2,070.68
6. Step 6: Final answer
   x = 766.01