Finding the Fourth Proportional to 109,645, 164,493.50 and 35,773

Step by Step Solution

1. Step 1: Write the proportion equation
   109,645 : 164,493.50 = 35,773 : x
2. Step 2: Convert to fraction form
   109,645/164,493.50 = 35,773/x
3. Step 3: Cross multiply
   109,645x = 164,493.50 × 35,773
4. Step 4: Simplify right side
   109,645x = 5,884,425,975.50
5. Step 5: Solve for x
   x = 5,884,425,975.50/109,645
6. Step 6: Final answer
   x = 53,667.98