Finding the Fourth Proportional to 109,781.69, 164,672.64 and 30,896.00

Step by Step Solution

1. Step 1: Write the proportion equation
   109,781.69 : 164,672.64 = 30,896.00 : x
2. Step 2: Convert to fraction form
   109,781.69/164,672.64 = 30,896.00/x
3. Step 3: Cross multiply
   109,781.69x = 164,672.64 × 30,896.00
4. Step 4: Simplify right side
   109,781.69x = 5,087,725,062.08
5. Step 5: Solve for x
   x = 5,087,725,062.08/109,781.69
6. Step 6: Final answer
   x = 46,344.02