Finding the Fourth Proportional to 1,268.26, 1,900.56 and 536.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.26 : 1,900.56 = 536.83 : x
2. Step 2: Convert to fraction form
   1,268.26/1,900.56 = 536.83/x
3. Step 3: Cross multiply
   1,268.26x = 1,900.56 × 536.83
4. Step 4: Simplify right side
   1,268.26x = 1,020,274.89
5. Step 5: Solve for x
   x = 1,020,274.89/1,268.26
6. Step 6: Final answer
   x = 804.47