Finding the Fourth Proportional to 1,516.05, 2,092.06 and 852.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.05 : 2,092.06 = 852.86 : x
2. Step 2: Convert to fraction form
   1,516.05/2,092.06 = 852.86/x
3. Step 3: Cross multiply
   1,516.05x = 2,092.06 × 852.86
4. Step 4: Simplify right side
   1,516.05x = 1,784,240.59
5. Step 5: Solve for x
   x = 1,784,240.59/1,516.05
6. Step 6: Final answer
   x = 1,176.90