Finding the Fourth Proportional to 1,536.69, 2,302.91 and 842.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.69 : 2,302.91 = 842.52 : x
2. Step 2: Convert to fraction form
   1,536.69/2,302.91 = 842.52/x
3. Step 3: Cross multiply
   1,536.69x = 2,302.91 × 842.52
4. Step 4: Simplify right side
   1,536.69x = 1,940,247.73
5. Step 5: Solve for x
   x = 1,940,247.73/1,536.69
6. Step 6: Final answer
   x = 1,262.61