Finding the Fourth Proportional to 1,064.58, 1,469.14 and 592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.58 : 1,469.14 = 592.50 : x
2. Step 2: Convert to fraction form
   1,064.58/1,469.14 = 592.50/x
3. Step 3: Cross multiply
   1,064.58x = 1,469.14 × 592.50
4. Step 4: Simplify right side
   1,064.58x = 870,465.45
5. Step 5: Solve for x
   x = 870,465.45/1,064.58
6. Step 6: Final answer
   x = 817.66