Finding the Fourth Proportional to 109,709.28, 164,564.64 and 30,825

Step by Step Solution

1. Step 1: Write the proportion equation
   109,709.28 : 164,564.64 = 30,825 : x
2. Step 2: Convert to fraction form
   109,709.28/164,564.64 = 30,825/x
3. Step 3: Cross multiply
   109,709.28x = 164,564.64 × 30,825
4. Step 4: Simplify right side
   109,709.28x = 5,072,705,028
5. Step 5: Solve for x
   x = 5,072,705,028/109,709.28
6. Step 6: Final answer
   x = 46,237.70