Finding the Fourth Proportional to 1,061.89, 1,591.61 and 412.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.89 : 1,591.61 = 412.07 : x
2. Step 2: Convert to fraction form
   1,061.89/1,591.61 = 412.07/x
3. Step 3: Cross multiply
   1,061.89x = 1,591.61 × 412.07
4. Step 4: Simplify right side
   1,061.89x = 655,852.67
5. Step 5: Solve for x
   x = 655,852.67/1,061.89
6. Step 6: Final answer
   x = 617.63