Finding the Fourth Proportional to 7,733.72, 10,665.94 and 5,212.51

Step by Step Solution

1. Step 1: Write the proportion equation
   7,733.72 : 10,665.94 = 5,212.51 : x
2. Step 2: Convert to fraction form
   7,733.72/10,665.94 = 5,212.51/x
3. Step 3: Cross multiply
   7,733.72x = 10,665.94 × 5,212.51
4. Step 4: Simplify right side
   7,733.72x = 55,596,319.21
5. Step 5: Solve for x
   x = 55,596,319.21/7,733.72
6. Step 6: Final answer
   x = 7,188.82