Finding the Fourth Proportional to 2,978.70, 4,464.54 and 1,029.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.70 : 4,464.54 = 1,029.84 : x
2. Step 2: Convert to fraction form
   2,978.70/4,464.54 = 1,029.84/x
3. Step 3: Cross multiply
   2,978.70x = 4,464.54 × 1,029.84
4. Step 4: Simplify right side
   2,978.70x = 4,597,761.87
5. Step 5: Solve for x
   x = 4,597,761.87/2,978.70
6. Step 6: Final answer
   x = 1,543.55