Finding the Fourth Proportional to 7,946.25, 10,965.83 and 5,151.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,946.25 : 10,965.83 = 5,151.75 : x
2. Step 2: Convert to fraction form
   7,946.25/10,965.83 = 5,151.75/x
3. Step 3: Cross multiply
   7,946.25x = 10,965.83 × 5,151.75
4. Step 4: Simplify right side
   7,946.25x = 56,493,188.94
5. Step 5: Solve for x
   x = 56,493,188.94/7,946.25
6. Step 6: Final answer
   x = 7,109.42