Finding the Fourth Proportional to 10,280.02, 14,186.46 and 5,564.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.02 : 14,186.46 = 5,564.32 : x
2. Step 2: Convert to fraction form
   10,280.02/14,186.46 = 5,564.32/x
3. Step 3: Cross multiply
   10,280.02x = 14,186.46 × 5,564.32
4. Step 4: Simplify right side
   10,280.02x = 78,938,003.11
5. Step 5: Solve for x
   x = 78,938,003.11/10,280.02
6. Step 6: Final answer
   x = 7,678.78