Finding the Fourth Proportional to 1,900.55, 2,850.71 and 513.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.55 : 2,850.71 = 513.86 : x
2. Step 2: Convert to fraction form
   1,900.55/2,850.71 = 513.86/x
3. Step 3: Cross multiply
   1,900.55x = 2,850.71 × 513.86
4. Step 4: Simplify right side
   1,900.55x = 1,464,865.84
5. Step 5: Solve for x
   x = 1,464,865.84/1,900.55
6. Step 6: Final answer
   x = 770.76