Finding the Fourth Proportional to 7,774.72, 10,730.72 and 4,417.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,774.72 : 10,730.72 = 4,417.76 : x
2. Step 2: Convert to fraction form
   7,774.72/10,730.72 = 4,417.76/x
3. Step 3: Cross multiply
   7,774.72x = 10,730.72 × 4,417.76
4. Step 4: Simplify right side
   7,774.72x = 47,405,745.59
5. Step 5: Solve for x
   x = 47,405,745.59/7,774.72
6. Step 6: Final answer
   x = 6,097.42