Finding the Fourth Proportional to 82,395.82, 113,705.04 and 46,584.64

Step by Step Solution

1. Step 1: Write the proportion equation
   82,395.82 : 113,705.04 = 46,584.64 : x
2. Step 2: Convert to fraction form
   82,395.82/113,705.04 = 46,584.64/x
3. Step 3: Cross multiply
   82,395.82x = 113,705.04 × 46,584.64
4. Step 4: Simplify right side
   82,395.82x = 5,296,908,354.59
5. Step 5: Solve for x
   x = 5,296,908,354.59/82,395.82
6. Step 6: Final answer
   x = 64,286.13