Finding the Fourth Proportional to 9,672.42, 13,346.92 and 5,693.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,672.42 : 13,346.92 = 5,693.29 : x
2. Step 2: Convert to fraction form
   9,672.42/13,346.92 = 5,693.29/x
3. Step 3: Cross multiply
   9,672.42x = 13,346.92 × 5,693.29
4. Step 4: Simplify right side
   9,672.42x = 75,987,886.17
5. Step 5: Solve for x
   x = 75,987,886.17/9,672.42
6. Step 6: Final answer
   x = 7,856.14