Finding the Fourth Proportional to 115,096.50, 172,644.84 and 31,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,096.50 : 172,644.84 = 31,990.50 : x
2. Step 2: Convert to fraction form
   115,096.50/172,644.84 = 31,990.50/x
3. Step 3: Cross multiply
   115,096.50x = 172,644.84 × 31,990.50
4. Step 4: Simplify right side
   115,096.50x = 5,522,994,754.02
5. Step 5: Solve for x
   x = 5,522,994,754.02/115,096.50
6. Step 6: Final answer
   x = 47,985.78