Finding the Fourth Proportional to 1,185.59, 1,779.30 and 536.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.59 : 1,779.30 = 536.78 : x
2. Step 2: Convert to fraction form
   1,185.59/1,779.30 = 536.78/x
3. Step 3: Cross multiply
   1,185.59x = 1,779.30 × 536.78
4. Step 4: Simplify right side
   1,185.59x = 955,089.97
5. Step 5: Solve for x
   x = 955,089.97/1,185.59
6. Step 6: Final answer
   x = 805.58