Finding the Fourth Proportional to 106,688.29, 160,040.61 and 31,802.71

Step by Step Solution

1. Step 1: Write the proportion equation
   106,688.29 : 160,040.61 = 31,802.71 : x
2. Step 2: Convert to fraction form
   106,688.29/160,040.61 = 31,802.71/x
3. Step 3: Cross multiply
   106,688.29x = 160,040.61 × 31,802.71
4. Step 4: Simplify right side
   106,688.29x = 5,089,724,949.04
5. Step 5: Solve for x
   x = 5,089,724,949.04/106,688.29
6. Step 6: Final answer
   x = 47,706.50