Finding the Fourth Proportional to 7,669.78, 10,589.52 and 5,653.43

Step by Step Solution

1. Step 1: Write the proportion equation
   7,669.78 : 10,589.52 = 5,653.43 : x
2. Step 2: Convert to fraction form
   7,669.78/10,589.52 = 5,653.43/x
3. Step 3: Cross multiply
   7,669.78x = 10,589.52 × 5,653.43
4. Step 4: Simplify right side
   7,669.78x = 59,867,157.73
5. Step 5: Solve for x
   x = 59,867,157.73/7,669.78
6. Step 6: Final answer
   x = 7,805.59