Finding the Fourth Proportional to 5,462.86, 7,538.73 and 2,978.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,462.86 : 7,538.73 = 2,978.86 : x
2. Step 2: Convert to fraction form
   5,462.86/7,538.73 = 2,978.86/x
3. Step 3: Cross multiply
   5,462.86x = 7,538.73 × 2,978.86
4. Step 4: Simplify right side
   5,462.86x = 22,456,821.25
5. Step 5: Solve for x
   x = 22,456,821.25/5,462.86
6. Step 6: Final answer
   x = 4,110.82