Finding the Fourth Proportional to 9,749.37, 13,457.58 and 5,770.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.37 : 13,457.58 = 5,770.47 : x
2. Step 2: Convert to fraction form
   9,749.37/13,457.58 = 5,770.47/x
3. Step 3: Cross multiply
   9,749.37x = 13,457.58 × 5,770.47
4. Step 4: Simplify right side
   9,749.37x = 77,656,590.49
5. Step 5: Solve for x
   x = 77,656,590.49/9,749.37
6. Step 6: Final answer
   x = 7,965.29