Finding the Fourth Proportional to 82,627.14, 114,016.50 and 46,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,627.14 : 114,016.50 = 46,816.50 : x
2. Step 2: Convert to fraction form
   82,627.14/114,016.50 = 46,816.50/x
3. Step 3: Cross multiply
   82,627.14x = 114,016.50 × 46,816.50
4. Step 4: Simplify right side
   82,627.14x = 5,337,853,472.25
5. Step 5: Solve for x
   x = 5,337,853,472.25/82,627.14
6. Step 6: Final answer
   x = 64,601.70