Finding the Fourth Proportional to 1,515.50, 2,091.71 and 852.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,515.50 : 2,091.71 = 852.56 : x
2. Step 2: Convert to fraction form
   1,515.50/2,091.71 = 852.56/x
3. Step 3: Cross multiply
   1,515.50x = 2,091.71 × 852.56
4. Step 4: Simplify right side
   1,515.50x = 1,783,307.79
5. Step 5: Solve for x
   x = 1,783,307.79/1,515.50
6. Step 6: Final answer
   x = 1,176.71