Finding the Fourth Proportional to 1,900.83, 2,851.41 and 514.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.83 : 2,851.41 = 514.16 : x
2. Step 2: Convert to fraction form
   1,900.83/2,851.41 = 514.16/x
3. Step 3: Cross multiply
   1,900.83x = 2,851.41 × 514.16
4. Step 4: Simplify right side
   1,900.83x = 1,466,071.27
5. Step 5: Solve for x
   x = 1,466,071.27/1,900.83
6. Step 6: Final answer
   x = 771.28