Finding the Fourth Proportional to 2,978.32, 4,462.62 and 2,864.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.32 : 4,462.62 = 2,864.56 : x
2. Step 2: Convert to fraction form
   2,978.32/4,462.62 = 2,864.56/x
3. Step 3: Cross multiply
   2,978.32x = 4,462.62 × 2,864.56
4. Step 4: Simplify right side
   2,978.32x = 12,783,442.75
5. Step 5: Solve for x
   x = 12,783,442.75/2,978.32
6. Step 6: Final answer
   x = 4,292.17