Finding the Fourth Proportional to 1,377.05, 2,064.94 and 510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.05 : 2,064.94 = 510.75 : x
2. Step 2: Convert to fraction form
   1,377.05/2,064.94 = 510.75/x
3. Step 3: Cross multiply
   1,377.05x = 2,064.94 × 510.75
4. Step 4: Simplify right side
   1,377.05x = 1,054,666.83
5. Step 5: Solve for x
   x = 1,054,666.83/1,377.05
6. Step 6: Final answer
   x = 765.89