Finding the Fourth Proportional to 6,801.39, 10,182.27 and 5,054.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,801.39 : 10,182.27 = 5,054.14 : x
2. Step 2: Convert to fraction form
   6,801.39/10,182.27 = 5,054.14/x
3. Step 3: Cross multiply
   6,801.39x = 10,182.27 × 5,054.14
4. Step 4: Simplify right side
   6,801.39x = 51,462,618.10
5. Step 5: Solve for x
   x = 51,462,618.10/6,801.39
6. Step 6: Final answer
   x = 7,566.49