Finding the Fourth Proportional to 120,706.83, 166,499.64 and 77,742

Step by Step Solution

1. Step 1: Write the proportion equation
   120,706.83 : 166,499.64 = 77,742 : x
2. Step 2: Convert to fraction form
   120,706.83/166,499.64 = 77,742/x
3. Step 3: Cross multiply
   120,706.83x = 166,499.64 × 77,742
4. Step 4: Simplify right side
   120,706.83x = 12,944,015,012.88
5. Step 5: Solve for x
   x = 12,944,015,012.88/120,706.83
6. Step 6: Final answer
   x = 107,235.15