Finding the Fourth Proportional to 10,280.30, 14,186.81 and 5,564.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.30 : 14,186.81 = 5,564.58 : x
2. Step 2: Convert to fraction form
   10,280.30/14,186.81 = 5,564.58/x
3. Step 3: Cross multiply
   10,280.30x = 14,186.81 × 5,564.58
4. Step 4: Simplify right side
   10,280.30x = 78,943,653.10
5. Step 5: Solve for x
   x = 78,943,653.10/10,280.30
6. Step 6: Final answer
   x = 7,679.12