Finding the Fourth Proportional to 7,778.89, 10,734.89 and 4,242.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778.89 : 10,734.89 = 4,242.09 : x
2. Step 2: Convert to fraction form
   7,778.89/10,734.89 = 4,242.09/x
3. Step 3: Cross multiply
   7,778.89x = 10,734.89 × 4,242.09
4. Step 4: Simplify right side
   7,778.89x = 45,538,369.52
5. Step 5: Solve for x
   x = 45,538,369.52/7,778.89
6. Step 6: Final answer
   x = 5,854.10