Finding the Fourth Proportional to 7,786.44, 10,741.77 and 5,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.44 : 10,741.77 = 5,656.50 : x
2. Step 2: Convert to fraction form
   7,786.44/10,741.77 = 5,656.50/x
3. Step 3: Cross multiply
   7,786.44x = 10,741.77 × 5,656.50
4. Step 4: Simplify right side
   7,786.44x = 60,760,822.01
5. Step 5: Solve for x
   x = 60,760,822.01/7,786.44
6. Step 6: Final answer
   x = 7,803.41