Finding the Fourth Proportional to 1,059.25, 1,461.77 and 593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.25 : 1,461.77 = 593.50 : x
2. Step 2: Convert to fraction form
   1,059.25/1,461.77 = 593.50/x
3. Step 3: Cross multiply
   1,059.25x = 1,461.77 × 593.50
4. Step 4: Simplify right side
   1,059.25x = 867,560.50
5. Step 5: Solve for x
   x = 867,560.50/1,059.25
6. Step 6: Final answer
   x = 819.03