Finding the Fourth Proportional to 109,538, 164,290.52 and 30,642

Step by Step Solution

1. Step 1: Write the proportion equation
   109,538 : 164,290.52 = 30,642 : x
2. Step 2: Convert to fraction form
   109,538/164,290.52 = 30,642/x
3. Step 3: Cross multiply
   109,538x = 164,290.52 × 30,642
4. Step 4: Simplify right side
   109,538x = 5,034,190,113.84
5. Step 5: Solve for x
   x = 5,034,190,113.84/109,538
6. Step 6: Final answer
   x = 45,958.39