Finding the Fourth Proportional to 6,944.67, 10,404.86 and 5,782.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,944.67 : 10,404.86 = 5,782.15 : x
2. Step 2: Convert to fraction form
   6,944.67/10,404.86 = 5,782.15/x
3. Step 3: Cross multiply
   6,944.67x = 10,404.86 × 5,782.15
4. Step 4: Simplify right side
   6,944.67x = 60,162,461.25
5. Step 5: Solve for x
   x = 60,162,461.25/6,944.67
6. Step 6: Final answer
   x = 8,663.11