Finding the Fourth Proportional to 5,300.63, 7,938.63 and 5,116.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300.63 : 7,938.63 = 5,116.10 : x
2. Step 2: Convert to fraction form
   5,300.63/7,938.63 = 5,116.10/x
3. Step 3: Cross multiply
   5,300.63x = 7,938.63 × 5,116.10
4. Step 4: Simplify right side
   5,300.63x = 40,614,824.94
5. Step 5: Solve for x
   x = 40,614,824.94/5,300.63
6. Step 6: Final answer
   x = 7,662.27