Finding the Fourth Proportional to 1,065.60, 1,470.42 and 593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.60 : 1,470.42 = 593.50 : x
2. Step 2: Convert to fraction form
   1,065.60/1,470.42 = 593.50/x
3. Step 3: Cross multiply
   1,065.60x = 1,470.42 × 593.50
4. Step 4: Simplify right side
   1,065.60x = 872,694.27
5. Step 5: Solve for x
   x = 872,694.27/1,065.60
6. Step 6: Final answer
   x = 818.97