Finding the Fourth Proportional to 1,808.82, 2,713.23 and 510.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,808.82 : 2,713.23 = 510.12 : x
2. Step 2: Convert to fraction form
   1,808.82/2,713.23 = 510.12/x
3. Step 3: Cross multiply
   1,808.82x = 2,713.23 × 510.12
4. Step 4: Simplify right side
   1,808.82x = 1,384,072.89
5. Step 5: Solve for x
   x = 1,384,072.89/1,808.82
6. Step 6: Final answer
   x = 765.18