Finding the Fourth Proportional to 1,901.50, 2,851.82 and 514.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.50 : 2,851.82 = 514.96 : x
2. Step 2: Convert to fraction form
   1,901.50/2,851.82 = 514.96/x
3. Step 3: Cross multiply
   1,901.50x = 2,851.82 × 514.96
4. Step 4: Simplify right side
   1,901.50x = 1,468,556.39
5. Step 5: Solve for x
   x = 1,468,556.39/1,901.50
6. Step 6: Final answer
   x = 772.32