Finding the Fourth Proportional to 1,267.39, 1,900.27 and 536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,267.39 : 1,900.27 = 536.50 : x
2. Step 2: Convert to fraction form
   1,267.39/1,900.27 = 536.50/x
3. Step 3: Cross multiply
   1,267.39x = 1,900.27 × 536.50
4. Step 4: Simplify right side
   1,267.39x = 1,019,494.86
5. Step 5: Solve for x
   x = 1,019,494.86/1,267.39
6. Step 6: Final answer
   x = 804.41