Finding the Fourth Proportional to 1,181.50, 1,773.06 and 412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.50 : 1,773.06 = 412 : x
2. Step 2: Convert to fraction form
   1,181.50/1,773.06 = 412/x
3. Step 3: Cross multiply
   1,181.50x = 1,773.06 × 412
4. Step 4: Simplify right side
   1,181.50x = 730,500.72
5. Step 5: Solve for x
   x = 730,500.72/1,181.50
6. Step 6: Final answer
   x = 618.28