Finding the Fourth Proportional to 1,294.77, 1,940.89 and 514.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.77 : 1,940.89 = 514.51 : x
2. Step 2: Convert to fraction form
   1,294.77/1,940.89 = 514.51/x
3. Step 3: Cross multiply
   1,294.77x = 1,940.89 × 514.51
4. Step 4: Simplify right side
   1,294.77x = 998,607.31
5. Step 5: Solve for x
   x = 998,607.31/1,294.77
6. Step 6: Final answer
   x = 771.26