Finding the Fourth Proportional to 1,830.21, 2,744.82 and 513.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.21 : 2,744.82 = 513.89 : x
2. Step 2: Convert to fraction form
   1,830.21/2,744.82 = 513.89/x
3. Step 3: Cross multiply
   1,830.21x = 2,744.82 × 513.89
4. Step 4: Simplify right side
   1,830.21x = 1,410,521.83
5. Step 5: Solve for x
   x = 1,410,521.83/1,830.21
6. Step 6: Final answer
   x = 770.69