Finding the Fourth Proportional to 7,757.61, 11,643.72 and 5,162.37

Step by Step Solution

1. Step 1: Write the proportion equation
   7,757.61 : 11,643.72 = 5,162.37 : x
2. Step 2: Convert to fraction form
   7,757.61/11,643.72 = 5,162.37/x
3. Step 3: Cross multiply
   7,757.61x = 11,643.72 × 5,162.37
4. Step 4: Simplify right side
   7,757.61x = 60,109,190.82
5. Step 5: Solve for x
   x = 60,109,190.82/7,757.61
6. Step 6: Final answer
   x = 7,748.42