Finding the Fourth Proportional to 9,749.12, 13,451.82 and 5,770.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.12 : 13,451.82 = 5,770.76 : x
2. Step 2: Convert to fraction form
   9,749.12/13,451.82 = 5,770.76/x
3. Step 3: Cross multiply
   9,749.12x = 13,451.82 × 5,770.76
4. Step 4: Simplify right side
   9,749.12x = 77,627,224.78
5. Step 5: Solve for x
   x = 77,627,224.78/9,749.12
6. Step 6: Final answer
   x = 7,962.49