Finding the Fourth Proportional to 9,670.34, 13,344.81 and 5,691.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,670.34 : 13,344.81 = 5,691.69 : x
2. Step 2: Convert to fraction form
   9,670.34/13,344.81 = 5,691.69/x
3. Step 3: Cross multiply
   9,670.34x = 13,344.81 × 5,691.69
4. Step 4: Simplify right side
   9,670.34x = 75,954,521.63
5. Step 5: Solve for x
   x = 75,954,521.63/9,670.34
6. Step 6: Final answer
   x = 7,854.38