Finding the Fourth Proportional to 9,952, 13,733.76 and 5,760.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,952 : 13,733.76 = 5,760.52 : x
2. Step 2: Convert to fraction form
   9,952/13,733.76 = 5,760.52/x
3. Step 3: Cross multiply
   9,952x = 13,733.76 × 5,760.52
4. Step 4: Simplify right side
   9,952x = 79,113,599.16
5. Step 5: Solve for x
   x = 79,113,599.16/9,952
6. Step 6: Final answer
   x = 7,949.52