Finding the Fourth Proportional to 120,256.38, 165,923.94 and 77,763.78

Step by Step Solution

1. Step 1: Write the proportion equation
   120,256.38 : 165,923.94 = 77,763.78 : x
2. Step 2: Convert to fraction form
   120,256.38/165,923.94 = 77,763.78/x
3. Step 3: Cross multiply
   120,256.38x = 165,923.94 × 77,763.78
4. Step 4: Simplify right side
   120,256.38x = 12,902,872,766.89
5. Step 5: Solve for x
   x = 12,902,872,766.89/120,256.38
6. Step 6: Final answer
   x = 107,294.70