Finding the Fourth Proportional to 5,105.94, 7,646.76 and 3,152.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.94 : 7,646.76 = 3,152.22 : x
2. Step 2: Convert to fraction form
   5,105.94/7,646.76 = 3,152.22/x
3. Step 3: Cross multiply
   5,105.94x = 7,646.76 × 3,152.22
4. Step 4: Simplify right side
   5,105.94x = 24,104,269.81
5. Step 5: Solve for x
   x = 24,104,269.81/5,105.94
6. Step 6: Final answer
   x = 4,720.83