Finding the Fourth Proportional to 1,061.64, 1,464.96 and 595.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.64 : 1,464.96 = 595.92 : x
2. Step 2: Convert to fraction form
   1,061.64/1,464.96 = 595.92/x
3. Step 3: Cross multiply
   1,061.64x = 1,464.96 × 595.92
4. Step 4: Simplify right side
   1,061.64x = 872,998.96
5. Step 5: Solve for x
   x = 872,998.96/1,061.64
6. Step 6: Final answer
   x = 822.31