Finding the Fourth Proportional to 7,776.59, 10,731.42 and 4,419.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776.59 : 10,731.42 = 4,419.34 : x
2. Step 2: Convert to fraction form
   7,776.59/10,731.42 = 4,419.34/x
3. Step 3: Cross multiply
   7,776.59x = 10,731.42 × 4,419.34
4. Step 4: Simplify right side
   7,776.59x = 47,425,766.83
5. Step 5: Solve for x
   x = 47,425,766.83/7,776.59
6. Step 6: Final answer
   x = 6,098.53