Finding the Fourth Proportional to 1,059.56, 1,462.20 and 593.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.56 : 1,462.20 = 593.82 : x
2. Step 2: Convert to fraction form
   1,059.56/1,462.20 = 593.82/x
3. Step 3: Cross multiply
   1,059.56x = 1,462.20 × 593.82
4. Step 4: Simplify right side
   1,059.56x = 868,283.60
5. Step 5: Solve for x
   x = 868,283.60/1,059.56
6. Step 6: Final answer
   x = 819.48