Finding the Fourth Proportional to 31,105.71, 46,688.63 and 29,419.89

Step by Step Solution

1. Step 1: Write the proportion equation
   31,105.71 : 46,688.63 = 29,419.89 : x
2. Step 2: Convert to fraction form
   31,105.71/46,688.63 = 29,419.89/x
3. Step 3: Cross multiply
   31,105.71x = 46,688.63 × 29,419.89
4. Step 4: Simplify right side
   31,105.71x = 1,373,574,211.75
5. Step 5: Solve for x
   x = 1,373,574,211.75/31,105.71
6. Step 6: Final answer
   x = 44,158.27