Finding the Fourth Proportional to 1,182.80, 1,773.72 and 412.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.80 : 1,773.72 = 412.88 : x
2. Step 2: Convert to fraction form
   1,182.80/1,773.72 = 412.88/x
3. Step 3: Cross multiply
   1,182.80x = 1,773.72 × 412.88
4. Step 4: Simplify right side
   1,182.80x = 732,333.51
5. Step 5: Solve for x
   x = 732,333.51/1,182.80
6. Step 6: Final answer
   x = 619.15