Finding the Fourth Proportional to 82,401.26, 113,716.14 and 46,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,401.26 : 113,716.14 = 46,590.50 : x
2. Step 2: Convert to fraction form
   82,401.26/113,716.14 = 46,590.50/x
3. Step 3: Cross multiply
   82,401.26x = 113,716.14 × 46,590.50
4. Step 4: Simplify right side
   82,401.26x = 5,298,092,286.71
5. Step 5: Solve for x
   x = 5,298,092,286.71/82,401.26
6. Step 6: Final answer
   x = 64,296.25