Finding the Fourth Proportional to 7,742.72, 10,684.98 and 4,205.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742.72 : 10,684.98 = 4,205.94 : x
2. Step 2: Convert to fraction form
   7,742.72/10,684.98 = 4,205.94/x
3. Step 3: Cross multiply
   7,742.72x = 10,684.98 × 4,205.94
4. Step 4: Simplify right side
   7,742.72x = 44,940,384.78
5. Step 5: Solve for x
   x = 44,940,384.78/7,742.72
6. Step 6: Final answer
   x = 5,804.22