Finding the Fourth Proportional to 10,280.00, 14,186.48 and 5,564.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280.00 : 14,186.48 = 5,564.30 : x
2. Step 2: Convert to fraction form
   10,280.00/14,186.48 = 5,564.30/x
3. Step 3: Cross multiply
   10,280.00x = 14,186.48 × 5,564.30
4. Step 4: Simplify right side
   10,280.00x = 78,937,731.91
5. Step 5: Solve for x
   x = 78,937,731.91/10,280.00
6. Step 6: Final answer
   x = 7,678.77