Finding the Fourth Proportional to 1,142.61, 1,713.15 and 412.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.61 : 1,713.15 = 412.09 : x
2. Step 2: Convert to fraction form
   1,142.61/1,713.15 = 412.09/x
3. Step 3: Cross multiply
   1,142.61x = 1,713.15 × 412.09
4. Step 4: Simplify right side
   1,142.61x = 705,977.34
5. Step 5: Solve for x
   x = 705,977.34/1,142.61
6. Step 6: Final answer
   x = 617.86