Finding the Fourth Proportional to 1,065.92, 1,470.82 and 593.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.92 : 1,470.82 = 593.78 : x
2. Step 2: Convert to fraction form
   1,065.92/1,470.82 = 593.78/x
3. Step 3: Cross multiply
   1,065.92x = 1,470.82 × 593.78
4. Step 4: Simplify right side
   1,065.92x = 873,343.50
5. Step 5: Solve for x
   x = 873,343.50/1,065.92
6. Step 6: Final answer
   x = 819.33