Finding the Fourth Proportional to 1,293.16, 1,784.54 and 1,106.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.16 : 1,784.54 = 1,106.42 : x
2. Step 2: Convert to fraction form
   1,293.16/1,784.54 = 1,106.42/x
3. Step 3: Cross multiply
   1,293.16x = 1,784.54 × 1,106.42
4. Step 4: Simplify right side
   1,293.16x = 1,974,450.75
5. Step 5: Solve for x
   x = 1,974,450.75/1,293.16
6. Step 6: Final answer
   x = 1,526.84