Finding the Fourth Proportional to 1,145.29, 1,715.61 and 853.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.29 : 1,715.61 = 853.10 : x
2. Step 2: Convert to fraction form
   1,145.29/1,715.61 = 853.10/x
3. Step 3: Cross multiply
   1,145.29x = 1,715.61 × 853.10
4. Step 4: Simplify right side
   1,145.29x = 1,463,586.89
5. Step 5: Solve for x
   x = 1,463,586.89/1,145.29
6. Step 6: Final answer
   x = 1,277.92