Finding the Fourth Proportional to 10,280.06, 14,186.49 and 5,564.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.06 : 14,186.49 = 5,564.35 : x
2. Step 2: Convert to fraction form
   10,280.06/14,186.49 = 5,564.35/x
3. Step 3: Cross multiply
   10,280.06x = 14,186.49 × 5,564.35
4. Step 4: Simplify right side
   10,280.06x = 78,938,544.00
5. Step 5: Solve for x
   x = 78,938,544.00/10,280.06
6. Step 6: Final answer
   x = 7,678.80