Finding the Fourth Proportional to 1,536.69, 2,304.57 and 805.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.69 : 2,304.57 = 805.86 : x
2. Step 2: Convert to fraction form
   1,536.69/2,304.57 = 805.86/x
3. Step 3: Cross multiply
   1,536.69x = 2,304.57 × 805.86
4. Step 4: Simplify right side
   1,536.69x = 1,857,160.78
5. Step 5: Solve for x
   x = 1,857,160.78/1,536.69
6. Step 6: Final answer
   x = 1,208.55