Finding the Fourth Proportional to 6,795.82, 10,182.10 and 5,314.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,795.82 : 10,182.10 = 5,314.47 : x
2. Step 2: Convert to fraction form
   6,795.82/10,182.10 = 5,314.47/x
3. Step 3: Cross multiply
   6,795.82x = 10,182.10 × 5,314.47
4. Step 4: Simplify right side
   6,795.82x = 54,112,503.73
5. Step 5: Solve for x
   x = 54,112,503.73/6,795.82
6. Step 6: Final answer
   x = 7,962.62