Finding the Fourth Proportional to 1,185.82, 1,779.50 and 536.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,779.50 = 536.56 : x
2. Step 2: Convert to fraction form
   1,185.82/1,779.50 = 536.56/x
3. Step 3: Cross multiply
   1,185.82x = 1,779.50 × 536.56
4. Step 4: Simplify right side
   1,185.82x = 954,805.41
5. Step 5: Solve for x
   x = 954,805.41/1,185.82
6. Step 6: Final answer
   x = 805.19