Finding the Fourth Proportional to 1,059.60, 1,462.24 and 593.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.60 : 1,462.24 = 593.86 : x
2. Step 2: Convert to fraction form
   1,059.60/1,462.24 = 593.86/x
3. Step 3: Cross multiply
   1,059.60x = 1,462.24 × 593.86
4. Step 4: Simplify right side
   1,059.60x = 868,365.85
5. Step 5: Solve for x
   x = 868,365.85/1,059.60
6. Step 6: Final answer
   x = 819.52