Finding the Fourth Proportional to 2,085.34, 3,127.95 and 852.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.34 : 3,127.95 = 852.40 : x
2. Step 2: Convert to fraction form
   2,085.34/3,127.95 = 852.40/x
3. Step 3: Cross multiply
   2,085.34x = 3,127.95 × 852.40
4. Step 4: Simplify right side
   2,085.34x = 2,666,264.58
5. Step 5: Solve for x
   x = 2,666,264.58/2,085.34
6. Step 6: Final answer
   x = 1,278.58