Finding the Fourth Proportional to 6,914.88, 10,362.60 and 5,184.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,914.88 : 10,362.60 = 5,184.72 : x
2. Step 2: Convert to fraction form
   6,914.88/10,362.60 = 5,184.72/x
3. Step 3: Cross multiply
   6,914.88x = 10,362.60 × 5,184.72
4. Step 4: Simplify right side
   6,914.88x = 53,727,179.47
5. Step 5: Solve for x
   x = 53,727,179.47/6,914.88
6. Step 6: Final answer
   x = 7,769.79