Finding the Fourth Proportional to 2,978.64, 4,468.56 and 1,129.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.64 : 4,468.56 = 1,129.68 : x
2. Step 2: Convert to fraction form
   2,978.64/4,468.56 = 1,129.68/x
3. Step 3: Cross multiply
   2,978.64x = 4,468.56 × 1,129.68
4. Step 4: Simplify right side
   2,978.64x = 5,048,042.86
5. Step 5: Solve for x
   x = 5,048,042.86/2,978.64
6. Step 6: Final answer
   x = 1,694.75