Finding the Fourth Proportional to 1,946.42, 2,685.78 and 1,106.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.42 : 2,685.78 = 1,106.86 : x
2. Step 2: Convert to fraction form
   1,946.42/2,685.78 = 1,106.86/x
3. Step 3: Cross multiply
   1,946.42x = 2,685.78 × 1,106.86
4. Step 4: Simplify right side
   1,946.42x = 2,972,782.45
5. Step 5: Solve for x
   x = 2,972,782.45/1,946.42
6. Step 6: Final answer
   x = 1,527.31