Finding the Fourth Proportional to 1,685.50, 2,527.52 and 852.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.50 : 2,527.52 = 852.05 : x
2. Step 2: Convert to fraction form
   1,685.50/2,527.52 = 852.05/x
3. Step 3: Cross multiply
   1,685.50x = 2,527.52 × 852.05
4. Step 4: Simplify right side
   1,685.50x = 2,153,569.16
5. Step 5: Solve for x
   x = 2,153,569.16/1,685.50
6. Step 6: Final answer
   x = 1,277.70