Finding the Fourth Proportional to 6,784.79, 10,164.42 and 5,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.79 : 10,164.42 = 5,319.50 : x
2. Step 2: Convert to fraction form
   6,784.79/10,164.42 = 5,319.50/x
3. Step 3: Cross multiply
   6,784.79x = 10,164.42 × 5,319.50
4. Step 4: Simplify right side
   6,784.79x = 54,069,581.37
5. Step 5: Solve for x
   x = 54,069,581.37/6,784.79
6. Step 6: Final answer
   x = 7,969.24