Finding the Fourth Proportional to 9,657.08, 13,328.52 and 5,678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.08 : 13,328.52 = 5,678.42 : x
2. Step 2: Convert to fraction form
   9,657.08/13,328.52 = 5,678.42/x
3. Step 3: Cross multiply
   9,657.08x = 13,328.52 × 5,678.42
4. Step 4: Simplify right side
   9,657.08x = 75,684,934.54
5. Step 5: Solve for x
   x = 75,684,934.54/9,657.08
6. Step 6: Final answer
   x = 7,837.25