Finding the Fourth Proportional to 1,019.86, 1,530.15 and 586.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.86 : 1,530.15 = 586.90 : x
2. Step 2: Convert to fraction form
   1,019.86/1,530.15 = 586.90/x
3. Step 3: Cross multiply
   1,019.86x = 1,530.15 × 586.90
4. Step 4: Simplify right side
   1,019.86x = 898,045.04
5. Step 5: Solve for x
   x = 898,045.04/1,019.86
6. Step 6: Final answer
   x = 880.56