Finding the Fourth Proportional to 1,185.96, 1,779.60 and 456.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.96 : 1,779.60 = 456.04 : x
2. Step 2: Convert to fraction form
   1,185.96/1,779.60 = 456.04/x
3. Step 3: Cross multiply
   1,185.96x = 1,779.60 × 456.04
4. Step 4: Simplify right side
   1,185.96x = 811,568.78
5. Step 5: Solve for x
   x = 811,568.78/1,185.96
6. Step 6: Final answer
   x = 684.31