Finding the Fourth Proportional to 10,516.08, 14,511.64 and 5,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.08 : 14,511.64 = 5,978.16 : x
2. Step 2: Convert to fraction form
   10,516.08/14,511.64 = 5,978.16/x
3. Step 3: Cross multiply
   10,516.08x = 14,511.64 × 5,978.16
4. Step 4: Simplify right side
   10,516.08x = 86,752,905.78
5. Step 5: Solve for x
   x = 86,752,905.78/10,516.08
6. Step 6: Final answer
   x = 8,249.55