Finding the Fourth Proportional to 10,978.13, 15,145.89 and 6,259.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.13 : 15,145.89 = 6,259.68 : x
2. Step 2: Convert to fraction form
   10,978.13/15,145.89 = 6,259.68/x
3. Step 3: Cross multiply
   10,978.13x = 15,145.89 × 6,259.68
4. Step 4: Simplify right side
   10,978.13x = 94,808,401.24
5. Step 5: Solve for x
   x = 94,808,401.24/10,978.13
6. Step 6: Final answer
   x = 8,636.11