Finding the Fourth Proportional to 1,059.63, 1,462.23 and 593.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.63 : 1,462.23 = 593.88 : x
2. Step 2: Convert to fraction form
   1,059.63/1,462.23 = 593.88/x
3. Step 3: Cross multiply
   1,059.63x = 1,462.23 × 593.88
4. Step 4: Simplify right side
   1,059.63x = 868,389.15
5. Step 5: Solve for x
   x = 868,389.15/1,059.63
6. Step 6: Final answer
   x = 819.52