Finding the Fourth Proportional to 1,059.20, 1,461.72 and 593.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.20 : 1,461.72 = 593.48 : x
2. Step 2: Convert to fraction form
   1,059.20/1,461.72 = 593.48/x
3. Step 3: Cross multiply
   1,059.20x = 1,461.72 × 593.48
4. Step 4: Simplify right side
   1,059.20x = 867,501.59
5. Step 5: Solve for x
   x = 867,501.59/1,059.20
6. Step 6: Final answer
   x = 819.02