Finding the Fourth Proportional to 1,106.30, 1,516.78 and 1,086.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.30 : 1,516.78 = 1,086.56 : x
2. Step 2: Convert to fraction form
   1,106.30/1,516.78 = 1,086.56/x
3. Step 3: Cross multiply
   1,106.30x = 1,516.78 × 1,086.56
4. Step 4: Simplify right side
   1,106.30x = 1,648,072.48
5. Step 5: Solve for x
   x = 1,648,072.48/1,106.30
6. Step 6: Final answer
   x = 1,489.72