Finding the Fourth Proportional to 10,023.34, 13,831.92 and 5,546.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.34 : 13,831.92 = 5,546.98 : x
2. Step 2: Convert to fraction form
   10,023.34/13,831.92 = 5,546.98/x
3. Step 3: Cross multiply
   10,023.34x = 13,831.92 × 5,546.98
4. Step 4: Simplify right side
   10,023.34x = 76,725,383.60
5. Step 5: Solve for x
   x = 76,725,383.60/10,023.34
6. Step 6: Final answer
   x = 7,654.67