Finding the Fourth Proportional to 109,370.50, 164,055.78 and 35,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,370.50 : 164,055.78 = 35,498.50 : x
2. Step 2: Convert to fraction form
   109,370.50/164,055.78 = 35,498.50/x
3. Step 3: Cross multiply
   109,370.50x = 164,055.78 × 35,498.50
4. Step 4: Simplify right side
   109,370.50x = 5,823,734,106.33
5. Step 5: Solve for x
   x = 5,823,734,106.33/109,370.50
6. Step 6: Final answer
   x = 53,247.76