Finding the Fourth Proportional to 9,959.56, 13,742.64 and 5,767

Step by Step Solution

1. Step 1: Write the proportion equation
   9,959.56 : 13,742.64 = 5,767 : x
2. Step 2: Convert to fraction form
   9,959.56/13,742.64 = 5,767/x
3. Step 3: Cross multiply
   9,959.56x = 13,742.64 × 5,767
4. Step 4: Simplify right side
   9,959.56x = 79,253,804.88
5. Step 5: Solve for x
   x = 79,253,804.88/9,959.56
6. Step 6: Final answer
   x = 7,957.56