Finding the Fourth Proportional to 6,774.28, 9,345.54 and 3,978.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,774.28 : 9,345.54 = 3,978.52 : x
2. Step 2: Convert to fraction form
   6,774.28/9,345.54 = 3,978.52/x
3. Step 3: Cross multiply
   6,774.28x = 9,345.54 × 3,978.52
4. Step 4: Simplify right side
   6,774.28x = 37,181,417.80
5. Step 5: Solve for x
   x = 37,181,417.80/6,774.28
6. Step 6: Final answer
   x = 5,488.62