Finding the Fourth Proportional to 105,189.24, 157,818.89 and 34,114.20

Step by Step Solution

1. Step 1: Write the proportion equation
   105,189.24 : 157,818.89 = 34,114.20 : x
2. Step 2: Convert to fraction form
   105,189.24/157,818.89 = 34,114.20/x
3. Step 3: Cross multiply
   105,189.24x = 157,818.89 × 34,114.20
4. Step 4: Simplify right side
   105,189.24x = 5,383,864,217.57
5. Step 5: Solve for x
   x = 5,383,864,217.57/105,189.24
6. Step 6: Final answer
   x = 51,182.65