Finding the Fourth Proportional to 1,250.33, 1,875.78 and 519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,250.33 : 1,875.78 = 519.50 : x
2. Step 2: Convert to fraction form
   1,250.33/1,875.78 = 519.50/x
3. Step 3: Cross multiply
   1,250.33x = 1,875.78 × 519.50
4. Step 4: Simplify right side
   1,250.33x = 974,458.33
5. Step 5: Solve for x
   x = 974,458.33/1,250.33
6. Step 6: Final answer
   x = 779.36