Finding the Fourth Proportional to 1,029.10, 1,543.89 and 298.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.10 : 1,543.89 = 298.69 : x
2. Step 2: Convert to fraction form
   1,029.10/1,543.89 = 298.69/x
3. Step 3: Cross multiply
   1,029.10x = 1,543.89 × 298.69
4. Step 4: Simplify right side
   1,029.10x = 461,144.50
5. Step 5: Solve for x
   x = 461,144.50/1,029.10
6. Step 6: Final answer
   x = 448.10