Finding the Fourth Proportional to 10,319.99, 14,241.94 and 5,782.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,319.99 : 14,241.94 = 5,782.86 : x
2. Step 2: Convert to fraction form
   10,319.99/14,241.94 = 5,782.86/x
3. Step 3: Cross multiply
   10,319.99x = 14,241.94 × 5,782.86
4. Step 4: Simplify right side
   10,319.99x = 82,359,200.54
5. Step 5: Solve for x
   x = 82,359,200.54/10,319.99
6. Step 6: Final answer
   x = 7,980.55