Finding the Fourth Proportional to 1,029.68, 1,420.71 and 587.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.68 : 1,420.71 = 587.42 : x
2. Step 2: Convert to fraction form
   1,029.68/1,420.71 = 587.42/x
3. Step 3: Cross multiply
   1,029.68x = 1,420.71 × 587.42
4. Step 4: Simplify right side
   1,029.68x = 834,553.47
5. Step 5: Solve for x
   x = 834,553.47/1,029.68
6. Step 6: Final answer
   x = 810.50