Finding the Fourth Proportional to 82,111.92, 113,317.24 and 47,654

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111.92 : 113,317.24 = 47,654 : x
2. Step 2: Convert to fraction form
   82,111.92/113,317.24 = 47,654/x
3. Step 3: Cross multiply
   82,111.92x = 113,317.24 × 47,654
4. Step 4: Simplify right side
   82,111.92x = 5,400,019,754.96
5. Step 5: Solve for x
   x = 5,400,019,754.96/82,111.92
6. Step 6: Final answer
   x = 65,764.14