Finding the Fourth Proportional to 109,664.10, 164,512.35 and 34,791.30

Step by Step Solution

1. Step 1: Write the proportion equation
   109,664.10 : 164,512.35 = 34,791.30 : x
2. Step 2: Convert to fraction form
   109,664.10/164,512.35 = 34,791.30/x
3. Step 3: Cross multiply
   109,664.10x = 164,512.35 × 34,791.30
4. Step 4: Simplify right side
   109,664.10x = 5,723,598,522.56
5. Step 5: Solve for x
   x = 5,723,598,522.56/109,664.10
6. Step 6: Final answer
   x = 52,192.09