Finding the Fourth Proportional to 1,105.65, 1,666.47 and 1,056.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.65 : 1,666.47 = 1,056.24 : x
2. Step 2: Convert to fraction form
   1,105.65/1,666.47 = 1,056.24/x
3. Step 3: Cross multiply
   1,105.65x = 1,666.47 × 1,056.24
4. Step 4: Simplify right side
   1,105.65x = 1,760,196.23
5. Step 5: Solve for x
   x = 1,760,196.23/1,105.65
6. Step 6: Final answer
   x = 1,592.00