Finding the Fourth Proportional to 1,538.08, 2,122.83 and 908.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.08 : 2,122.83 = 908.57 : x
2. Step 2: Convert to fraction form
   1,538.08/2,122.83 = 908.57/x
3. Step 3: Cross multiply
   1,538.08x = 2,122.83 × 908.57
4. Step 4: Simplify right side
   1,538.08x = 1,928,739.65
5. Step 5: Solve for x
   x = 1,928,739.65/1,538.08
6. Step 6: Final answer
   x = 1,253.99