Finding the Fourth Proportional to 1,264.17, 1,895.31 and 852.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.17 : 1,895.31 = 852.15 : x
2. Step 2: Convert to fraction form
   1,264.17/1,895.31 = 852.15/x
3. Step 3: Cross multiply
   1,264.17x = 1,895.31 × 852.15
4. Step 4: Simplify right side
   1,264.17x = 1,615,088.42
5. Step 5: Solve for x
   x = 1,615,088.42/1,264.17
6. Step 6: Final answer
   x = 1,277.59