Finding the Fourth Proportional to 5,462.25, 7,538.04 and 2,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,462.25 : 7,538.04 = 2,978.25 : x
2. Step 2: Convert to fraction form
   5,462.25/7,538.04 = 2,978.25/x
3. Step 3: Cross multiply
   5,462.25x = 7,538.04 × 2,978.25
4. Step 4: Simplify right side
   5,462.25x = 22,450,167.63
5. Step 5: Solve for x
   x = 22,450,167.63/5,462.25
6. Step 6: Final answer
   x = 4,110.06