Finding the Fourth Proportional to 1,550.72, 2,326.10 and 510.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,550.72 : 2,326.10 = 510.77 : x
2. Step 2: Convert to fraction form
   1,550.72/2,326.10 = 510.77/x
3. Step 3: Cross multiply
   1,550.72x = 2,326.10 × 510.77
4. Step 4: Simplify right side
   1,550.72x = 1,188,087.91
5. Step 5: Solve for x
   x = 1,188,087.91/1,550.72
6. Step 6: Final answer
   x = 766.15