Finding the Fourth Proportional to 120,204.52, 165,826.38 and 77,776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   120,204.52 : 165,826.38 = 77,776.72 : x
2. Step 2: Convert to fraction form
   120,204.52/165,826.38 = 77,776.72/x
3. Step 3: Cross multiply
   120,204.52x = 165,826.38 × 77,776.72
4. Step 4: Simplify right side
   120,204.52x = 12,897,431,925.87
5. Step 5: Solve for x
   x = 12,897,431,925.87/120,204.52
6. Step 6: Final answer
   x = 107,295.73