Finding the Fourth Proportional to 82,456.75, 113,790.35 and 46,646

Step by Step Solution

1. Step 1: Write the proportion equation
   82,456.75 : 113,790.35 = 46,646 : x
2. Step 2: Convert to fraction form
   82,456.75/113,790.35 = 46,646/x
3. Step 3: Cross multiply
   82,456.75x = 113,790.35 × 46,646
4. Step 4: Simplify right side
   82,456.75x = 5,307,864,666.10
5. Step 5: Solve for x
   x = 5,307,864,666.10/82,456.75
6. Step 6: Final answer
   x = 64,371.50