Finding the Fourth Proportional to 1,538.16, 2,304.12 and 1,309.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.16 : 2,304.12 = 1,309.36 : x
2. Step 2: Convert to fraction form
   1,538.16/2,304.12 = 1,309.36/x
3. Step 3: Cross multiply
   1,538.16x = 2,304.12 × 1,309.36
4. Step 4: Simplify right side
   1,538.16x = 3,016,922.56
5. Step 5: Solve for x
   x = 3,016,922.56/1,538.16
6. Step 6: Final answer
   x = 1,961.38