Finding the Fourth Proportional to 1,184.78, 1,777.18 and 1,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.78 : 1,777.18 = 1,095.50 : x
2. Step 2: Convert to fraction form
   1,184.78/1,777.18 = 1,095.50/x
3. Step 3: Cross multiply
   1,184.78x = 1,777.18 × 1,095.50
4. Step 4: Simplify right side
   1,184.78x = 1,946,900.69
5. Step 5: Solve for x
   x = 1,946,900.69/1,184.78
6. Step 6: Final answer
   x = 1,643.26