Finding the Fourth Proportional to 14,547.67, 21,831.05 and 7,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,547.67 : 21,831.05 = 7,978.50 : x
2. Step 2: Convert to fraction form
   14,547.67/21,831.05 = 7,978.50/x
3. Step 3: Cross multiply
   14,547.67x = 21,831.05 × 7,978.50
4. Step 4: Simplify right side
   14,547.67x = 174,179,052.37
5. Step 5: Solve for x
   x = 174,179,052.37/14,547.67
6. Step 6: Final answer
   x = 11,972.99