Finding the Fourth Proportional to 2,978.76, 4,463.22 and 1,029.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.76 : 4,463.22 = 1,029.88 : x
2. Step 2: Convert to fraction form
   2,978.76/4,463.22 = 1,029.88/x
3. Step 3: Cross multiply
   2,978.76x = 4,463.22 × 1,029.88
4. Step 4: Simplify right side
   2,978.76x = 4,596,581.01
5. Step 5: Solve for x
   x = 4,596,581.01/2,978.76
6. Step 6: Final answer
   x = 1,543.12