Finding the Fourth Proportional to 1,019.88, 1,528.61 and 586.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.88 : 1,528.61 = 586.13 : x
2. Step 2: Convert to fraction form
   1,019.88/1,528.61 = 586.13/x
3. Step 3: Cross multiply
   1,019.88x = 1,528.61 × 586.13
4. Step 4: Simplify right side
   1,019.88x = 895,953.61
5. Step 5: Solve for x
   x = 895,953.61/1,019.88
6. Step 6: Final answer
   x = 878.49