Finding the Fourth Proportional to 9,831.54, 13,567.80 and 5,582.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,831.54 : 13,567.80 = 5,582.52 : x
2. Step 2: Convert to fraction form
   9,831.54/13,567.80 = 5,582.52/x
3. Step 3: Cross multiply
   9,831.54x = 13,567.80 × 5,582.52
4. Step 4: Simplify right side
   9,831.54x = 75,742,514.86
5. Step 5: Solve for x
   x = 75,742,514.86/9,831.54
6. Step 6: Final answer
   x = 7,704.03