Finding the Fourth Proportional to 1,029.69, 1,420.96 and 587.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.69 : 1,420.96 = 587.59 : x
2. Step 2: Convert to fraction form
   1,029.69/1,420.96 = 587.59/x
3. Step 3: Cross multiply
   1,029.69x = 1,420.96 × 587.59
4. Step 4: Simplify right side
   1,029.69x = 834,941.89
5. Step 5: Solve for x
   x = 834,941.89/1,029.69
6. Step 6: Final answer
   x = 810.87