Finding the Fourth Proportional to 1,064.64, 1,595.73 and 414.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.64 : 1,595.73 = 414.82 : x
2. Step 2: Convert to fraction form
   1,064.64/1,595.73 = 414.82/x
3. Step 3: Cross multiply
   1,064.64x = 1,595.73 × 414.82
4. Step 4: Simplify right side
   1,064.64x = 661,940.72
5. Step 5: Solve for x
   x = 661,940.72/1,064.64
6. Step 6: Final answer
   x = 621.75