Finding the Fourth Proportional to 9,746.82, 13,444.32 and 5,765.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746.82 : 13,444.32 = 5,765.16 : x
2. Step 2: Convert to fraction form
   9,746.82/13,444.32 = 5,765.16/x
3. Step 3: Cross multiply
   9,746.82x = 13,444.32 × 5,765.16
4. Step 4: Simplify right side
   9,746.82x = 77,508,655.89
5. Step 5: Solve for x
   x = 77,508,655.89/9,746.82
6. Step 6: Final answer
   x = 7,952.20