Finding the Fourth Proportional to 1,196.70, 1,784.57 and 1,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.70 : 1,784.57 = 1,185.76 : x
2. Step 2: Convert to fraction form
   1,196.70/1,784.57 = 1,185.76/x
3. Step 3: Cross multiply
   1,196.70x = 1,784.57 × 1,185.76
4. Step 4: Simplify right side
   1,196.70x = 2,116,071.72
5. Step 5: Solve for x
   x = 2,116,071.72/1,196.70
6. Step 6: Final answer
   x = 1,768.26