Finding the Fourth Proportional to 109,644, 164,492 and 35,772

Step by Step Solution

1. Step 1: Write the proportion equation
   109,644 : 164,492 = 35,772 : x
2. Step 2: Convert to fraction form
   109,644/164,492 = 35,772/x
3. Step 3: Cross multiply
   109,644x = 164,492 × 35,772
4. Step 4: Simplify right side
   109,644x = 5,884,207,824
5. Step 5: Solve for x
   x = 5,884,207,824/109,644
6. Step 6: Final answer
   x = 53,666.48