Finding the Fourth Proportional to 1,945.50, 2,684.84 and 1,106.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.50 : 2,684.84 = 1,106.07 : x
2. Step 2: Convert to fraction form
   1,945.50/2,684.84 = 1,106.07/x
3. Step 3: Cross multiply
   1,945.50x = 2,684.84 × 1,106.07
4. Step 4: Simplify right side
   1,945.50x = 2,969,620.98
5. Step 5: Solve for x
   x = 2,969,620.98/1,945.50
6. Step 6: Final answer
   x = 1,526.41