Finding the Fourth Proportional to 10,513.81, 15,778.54 and 4,968.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.81 : 15,778.54 = 4,968.86 : x
2. Step 2: Convert to fraction form
   10,513.81/15,778.54 = 4,968.86/x
3. Step 3: Cross multiply
   10,513.81x = 15,778.54 × 4,968.86
4. Step 4: Simplify right side
   10,513.81x = 78,401,356.26
5. Step 5: Solve for x
   x = 78,401,356.26/10,513.81
6. Step 6: Final answer
   x = 7,456.99