Finding the Fourth Proportional to 109,785.40, 164,678.16 and 30,899.63

Step by Step Solution

1. Step 1: Write the proportion equation
   109,785.40 : 164,678.16 = 30,899.63 : x
2. Step 2: Convert to fraction form
   109,785.40/164,678.16 = 30,899.63/x
3. Step 3: Cross multiply
   109,785.40x = 164,678.16 × 30,899.63
4. Step 4: Simplify right side
   109,785.40x = 5,088,493,389.69
5. Step 5: Solve for x
   x = 5,088,493,389.69/109,785.40
6. Step 6: Final answer
   x = 46,349.45