Finding the Fourth Proportional to 82,128.56, 123,192.84 and 32,846

Step by Step Solution

1. Step 1: Write the proportion equation
   82,128.56 : 123,192.84 = 32,846 : x
2. Step 2: Convert to fraction form
   82,128.56/123,192.84 = 32,846/x
3. Step 3: Cross multiply
   82,128.56x = 123,192.84 × 32,846
4. Step 4: Simplify right side
   82,128.56x = 4,046,392,022.64
5. Step 5: Solve for x
   x = 4,046,392,022.64/82,128.56
6. Step 6: Final answer
   x = 49,269