Finding the Fourth Proportional to 1,267.30, 1,900.78 and 536.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,267.30 : 1,900.78 = 536.78 : x
2. Step 2: Convert to fraction form
   1,267.30/1,900.78 = 536.78/x
3. Step 3: Cross multiply
   1,267.30x = 1,900.78 × 536.78
4. Step 4: Simplify right side
   1,267.30x = 1,020,300.69
5. Step 5: Solve for x
   x = 1,020,300.69/1,267.30
6. Step 6: Final answer
   x = 805.10