Finding the Fourth Proportional to 5,462.88, 7,538.76 and 2,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,462.88 : 7,538.76 = 2,978.88 : x
2. Step 2: Convert to fraction form
   5,462.88/7,538.76 = 2,978.88/x
3. Step 3: Cross multiply
   5,462.88x = 7,538.76 × 2,978.88
4. Step 4: Simplify right side
   5,462.88x = 22,457,061.39
5. Step 5: Solve for x
   x = 22,457,061.39/5,462.88
6. Step 6: Final answer
   x = 4,110.85