Finding the Fourth Proportional to 1,268.82, 1,902.69 and 538.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.82 : 1,902.69 = 538.02 : x
2. Step 2: Convert to fraction form
   1,268.82/1,902.69 = 538.02/x
3. Step 3: Cross multiply
   1,268.82x = 1,902.69 × 538.02
4. Step 4: Simplify right side
   1,268.82x = 1,023,685.27
5. Step 5: Solve for x
   x = 1,023,685.27/1,268.82
6. Step 6: Final answer
   x = 806.80