Finding the Fourth Proportional to 7,669.56, 10,584.54 and 5,653.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,669.56 : 10,584.54 = 5,653.80 : x
2. Step 2: Convert to fraction form
   7,669.56/10,584.54 = 5,653.80/x
3. Step 3: Cross multiply
   7,669.56x = 10,584.54 × 5,653.80
4. Step 4: Simplify right side
   7,669.56x = 59,842,872.25
5. Step 5: Solve for x
   x = 59,842,872.25/7,669.56
6. Step 6: Final answer
   x = 7,802.65