Finding the Fourth Proportional to 5,462.25, 7,537.91 and 2,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,462.25 : 7,537.91 = 2,978.25 : x
2. Step 2: Convert to fraction form
   5,462.25/7,537.91 = 2,978.25/x
3. Step 3: Cross multiply
   5,462.25x = 7,537.91 × 2,978.25
4. Step 4: Simplify right side
   5,462.25x = 22,449,765.57
5. Step 5: Solve for x
   x = 22,449,765.57/5,462.25
6. Step 6: Final answer
   x = 4,109.99