Finding the Fourth Proportional to 1,065.34, 1,470.18 and 599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.34 : 1,470.18 = 599.50 : x
2. Step 2: Convert to fraction form
   1,065.34/1,470.18 = 599.50/x
3. Step 3: Cross multiply
   1,065.34x = 1,470.18 × 599.50
4. Step 4: Simplify right side
   1,065.34x = 881,372.91
5. Step 5: Solve for x
   x = 881,372.91/1,065.34
6. Step 6: Final answer
   x = 827.32