Finding the Fourth Proportional to 1,182.38, 1,773.59 and 412.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.38 : 1,773.59 = 412.88 : x
2. Step 2: Convert to fraction form
   1,182.38/1,773.59 = 412.88/x
3. Step 3: Cross multiply
   1,182.38x = 1,773.59 × 412.88
4. Step 4: Simplify right side
   1,182.38x = 732,268.91
5. Step 5: Solve for x
   x = 732,268.91/1,182.38
6. Step 6: Final answer
   x = 619.32