Finding the Fourth Proportional to 1,064.90, 1,469.61 and 599.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.90 : 1,469.61 = 599.15 : x
2. Step 2: Convert to fraction form
   1,064.90/1,469.61 = 599.15/x
3. Step 3: Cross multiply
   1,064.90x = 1,469.61 × 599.15
4. Step 4: Simplify right side
   1,064.90x = 880,509.48
5. Step 5: Solve for x
   x = 880,509.48/1,064.90
6. Step 6: Final answer
   x = 826.85