Finding the Fourth Proportional to 10,978.22, 15,147.24 and 6,501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.22 : 15,147.24 = 6,501.75 : x
2. Step 2: Convert to fraction form
   10,978.22/15,147.24 = 6,501.75/x
3. Step 3: Cross multiply
   10,978.22x = 15,147.24 × 6,501.75
4. Step 4: Simplify right side
   10,978.22x = 98,483,567.67
5. Step 5: Solve for x
   x = 98,483,567.67/10,978.22
6. Step 6: Final answer
   x = 8,970.82