Finding the Fourth Proportional to 106,716.02, 160,097.78 and 31,837.46

Step by Step Solution

1. Step 1: Write the proportion equation
   106,716.02 : 160,097.78 = 31,837.46 : x
2. Step 2: Convert to fraction form
   106,716.02/160,097.78 = 31,837.46/x
3. Step 3: Cross multiply
   106,716.02x = 160,097.78 × 31,837.46
4. Step 4: Simplify right side
   106,716.02x = 5,097,105,945.94
5. Step 5: Solve for x
   x = 5,097,105,945.94/106,716.02
6. Step 6: Final answer
   x = 47,763.27