Finding the Fourth Proportional to 83,821.98, 115,672.02 and 46,096.23

Step by Step Solution

1. Step 1: Write the proportion equation
   83,821.98 : 115,672.02 = 46,096.23 : x
2. Step 2: Convert to fraction form
   83,821.98/115,672.02 = 46,096.23/x
3. Step 3: Cross multiply
   83,821.98x = 115,672.02 × 46,096.23
4. Step 4: Simplify right side
   83,821.98x = 5,332,044,038.48
5. Step 5: Solve for x
   x = 5,332,044,038.48/83,821.98
6. Step 6: Final answer
   x = 63,611.53