Finding the Fourth Proportional to 1,516, 2,091.72 and 852.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516 : 2,091.72 = 852.72 : x
2. Step 2: Convert to fraction form
   1,516/2,091.72 = 852.72/x
3. Step 3: Cross multiply
   1,516x = 2,091.72 × 852.72
4. Step 4: Simplify right side
   1,516x = 1,783,651.48
5. Step 5: Solve for x
   x = 1,783,651.48/1,516
6. Step 6: Final answer
   x = 1,176.55