Finding the Fourth Proportional to 165,109.50, 227,853.95 and 89,658

Step by Step Solution

1. Step 1: Write the proportion equation
   165,109.50 : 227,853.95 = 89,658 : x
2. Step 2: Convert to fraction form
   165,109.50/227,853.95 = 89,658/x
3. Step 3: Cross multiply
   165,109.50x = 227,853.95 × 89,658
4. Step 4: Simplify right side
   165,109.50x = 20,428,929,000.81
5. Step 5: Solve for x
   x = 20,428,929,000.81/165,109.50
6. Step 6: Final answer
   x = 123,729.58