Finding the Fourth Proportional to 1,061.50, 1,464.88 and 595.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.50 : 1,464.88 = 595.76 : x
2. Step 2: Convert to fraction form
   1,061.50/1,464.88 = 595.76/x
3. Step 3: Cross multiply
   1,061.50x = 1,464.88 × 595.76
4. Step 4: Simplify right side
   1,061.50x = 872,716.91
5. Step 5: Solve for x
   x = 872,716.91/1,061.50
6. Step 6: Final answer
   x = 822.15