Finding the Fourth Proportional to 1,061.94, 1,591.97 and 412.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.94 : 1,591.97 = 412.53 : x
2. Step 2: Convert to fraction form
   1,061.94/1,591.97 = 412.53/x
3. Step 3: Cross multiply
   1,061.94x = 1,591.97 × 412.53
4. Step 4: Simplify right side
   1,061.94x = 656,733.32
5. Step 5: Solve for x
   x = 656,733.32/1,061.94
6. Step 6: Final answer
   x = 618.43