Finding the Fourth Proportional to 1,185.69, 1,779.31 and 536.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.69 : 1,779.31 = 536.43 : x
2. Step 2: Convert to fraction form
   1,185.69/1,779.31 = 536.43/x
3. Step 3: Cross multiply
   1,185.69x = 1,779.31 × 536.43
4. Step 4: Simplify right side
   1,185.69x = 954,475.26
5. Step 5: Solve for x
   x = 954,475.26/1,185.69
6. Step 6: Final answer
   x = 805.00