Finding the Fourth Proportional to 1,017.05, 1,524.89 and 878.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.05 : 1,524.89 = 878.20 : x
2. Step 2: Convert to fraction form
   1,017.05/1,524.89 = 878.20/x
3. Step 3: Cross multiply
   1,017.05x = 1,524.89 × 878.20
4. Step 4: Simplify right side
   1,017.05x = 1,339,156.78
5. Step 5: Solve for x
   x = 1,339,156.78/1,017.05
6. Step 6: Final answer
   x = 1,316.71