Finding the Fourth Proportional to 31,978.68, 47,978.01 and 10,919.22

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978.68 : 47,978.01 = 10,919.22 : x
2. Step 2: Convert to fraction form
   31,978.68/47,978.01 = 10,919.22/x
3. Step 3: Cross multiply
   31,978.68x = 47,978.01 × 10,919.22
4. Step 4: Simplify right side
   31,978.68x = 523,882,446.35
5. Step 5: Solve for x
   x = 523,882,446.35/31,978.68
6. Step 6: Final answer
   x = 16,382.24