Finding the Fourth Proportional to 83,415, 115,123.80 and 47,596.80

Step by Step Solution

1. Step 1: Write the proportion equation
   83,415 : 115,123.80 = 47,596.80 : x
2. Step 2: Convert to fraction form
   83,415/115,123.80 = 47,596.80/x
3. Step 3: Cross multiply
   83,415x = 115,123.80 × 47,596.80
4. Step 4: Simplify right side
   83,415x = 5,479,524,483.84
5. Step 5: Solve for x
   x = 5,479,524,483.84/83,415
6. Step 6: Final answer
   x = 65,689.92