Finding the Fourth Proportional to 9,714.48, 14,569.52 and 3,791.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.48 : 14,569.52 = 3,791.52 : x
2. Step 2: Convert to fraction form
   9,714.48/14,569.52 = 3,791.52/x
3. Step 3: Cross multiply
   9,714.48x = 14,569.52 × 3,791.52
4. Step 4: Simplify right side
   9,714.48x = 55,240,626.47
5. Step 5: Solve for x
   x = 55,240,626.47/9,714.48
6. Step 6: Final answer
   x = 5,686.42