Finding the Fourth Proportional to 1,105.02, 1,524.07 and 785.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.02 : 1,524.07 = 785.46 : x
2. Step 2: Convert to fraction form
   1,105.02/1,524.07 = 785.46/x
3. Step 3: Cross multiply
   1,105.02x = 1,524.07 × 785.46
4. Step 4: Simplify right side
   1,105.02x = 1,197,096.02
5. Step 5: Solve for x
   x = 1,197,096.02/1,105.02
6. Step 6: Final answer
   x = 1,083.33