Finding the Fourth Proportional to 31,706.15, 47,564.70 and 10,648.22

Step by Step Solution

1. Step 1: Write the proportion equation
   31,706.15 : 47,564.70 = 10,648.22 : x
2. Step 2: Convert to fraction form
   31,706.15/47,564.70 = 10,648.22/x
3. Step 3: Cross multiply
   31,706.15x = 47,564.70 × 10,648.22
4. Step 4: Simplify right side
   31,706.15x = 506,479,389.83
5. Step 5: Solve for x
   x = 506,479,389.83/31,706.15
6. Step 6: Final answer
   x = 15,974.17