Finding the Fourth Proportional to 109,646.50, 164,495.75 and 35,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,646.50 : 164,495.75 = 35,774.50 : x
2. Step 2: Convert to fraction form
   109,646.50/164,495.75 = 35,774.50/x
3. Step 3: Cross multiply
   109,646.50x = 164,495.75 × 35,774.50
4. Step 4: Simplify right side
   109,646.50x = 5,884,753,208.38
5. Step 5: Solve for x
   x = 5,884,753,208.38/109,646.50
6. Step 6: Final answer
   x = 53,670.23