Finding the Fourth Proportional to 1,516.24, 2,092.24 and 852.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.24 : 2,092.24 = 852.96 : x
2. Step 2: Convert to fraction form
   1,516.24/2,092.24 = 852.96/x
3. Step 3: Cross multiply
   1,516.24x = 2,092.24 × 852.96
4. Step 4: Simplify right side
   1,516.24x = 1,784,597.03
5. Step 5: Solve for x
   x = 1,784,597.03/1,516.24
6. Step 6: Final answer
   x = 1,176.99