Finding the Fourth Proportional to 1,185.59, 1,779.08 and 774.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.59 : 1,779.08 = 774.72 : x
2. Step 2: Convert to fraction form
   1,185.59/1,779.08 = 774.72/x
3. Step 3: Cross multiply
   1,185.59x = 1,779.08 × 774.72
4. Step 4: Simplify right side
   1,185.59x = 1,378,284.98
5. Step 5: Solve for x
   x = 1,378,284.98/1,185.59
6. Step 6: Final answer
   x = 1,162.53