Finding the Fourth Proportional to 78,084.38, 107,644.46 and 55,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084.38 : 107,644.46 = 55,689.50 : x
2. Step 2: Convert to fraction form
   78,084.38/107,644.46 = 55,689.50/x
3. Step 3: Cross multiply
   78,084.38x = 107,644.46 × 55,689.50
4. Step 4: Simplify right side
   78,084.38x = 5,994,666,155.17
5. Step 5: Solve for x
   x = 5,994,666,155.17/78,084.38
6. Step 6: Final answer
   x = 76,771.64