Finding the Fourth Proportional to 1,059.34, 1,461.93 and 593.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.34 : 1,461.93 = 593.59 : x
2. Step 2: Convert to fraction form
   1,059.34/1,461.93 = 593.59/x
3. Step 3: Cross multiply
   1,059.34x = 1,461.93 × 593.59
4. Step 4: Simplify right side
   1,059.34x = 867,787.03
5. Step 5: Solve for x
   x = 867,787.03/1,059.34
6. Step 6: Final answer
   x = 819.18