Finding the Fourth Proportional to 71,298.28, 106,931.22 and 31,834

Step by Step Solution

1. Step 1: Write the proportion equation
   71,298.28 : 106,931.22 = 31,834 : x
2. Step 2: Convert to fraction form
   71,298.28/106,931.22 = 31,834/x
3. Step 3: Cross multiply
   71,298.28x = 106,931.22 × 31,834
4. Step 4: Simplify right side
   71,298.28x = 3,404,048,457.48
5. Step 5: Solve for x
   x = 3,404,048,457.48/71,298.28
6. Step 6: Final answer
   x = 47,743.77