Finding the Fourth Proportional to 9,736.20, 13,429.62 and 5,757

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.20 : 13,429.62 = 5,757 : x
2. Step 2: Convert to fraction form
   9,736.20/13,429.62 = 5,757/x
3. Step 3: Cross multiply
   9,736.20x = 13,429.62 × 5,757
4. Step 4: Simplify right side
   9,736.20x = 77,314,322.34
5. Step 5: Solve for x
   x = 77,314,322.34/9,736.20
6. Step 6: Final answer
   x = 7,940.91