Finding the Fourth Proportional to 1,064.50, 1,468.96 and 592.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.50 : 1,468.96 = 592.43 : x
2. Step 2: Convert to fraction form
   1,064.50/1,468.96 = 592.43/x
3. Step 3: Cross multiply
   1,064.50x = 1,468.96 × 592.43
4. Step 4: Simplify right side
   1,064.50x = 870,247.15
5. Step 5: Solve for x
   x = 870,247.15/1,064.50
6. Step 6: Final answer
   x = 817.52