Finding the Fourth Proportional to 1,061.23, 1,590.93 and 412.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.23 : 1,590.93 = 412.42 : x
2. Step 2: Convert to fraction form
   1,061.23/1,590.93 = 412.42/x
3. Step 3: Cross multiply
   1,061.23x = 1,590.93 × 412.42
4. Step 4: Simplify right side
   1,061.23x = 656,131.35
5. Step 5: Solve for x
   x = 656,131.35/1,061.23
6. Step 6: Final answer
   x = 618.27