Finding the Fourth Proportional to 1,325.34, 1,827.72 and 852.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.34 : 1,827.72 = 852.78 : x
2. Step 2: Convert to fraction form
   1,325.34/1,827.72 = 852.78/x
3. Step 3: Cross multiply
   1,325.34x = 1,827.72 × 852.78
4. Step 4: Simplify right side
   1,325.34x = 1,558,643.06
5. Step 5: Solve for x
   x = 1,558,643.06/1,325.34
6. Step 6: Final answer
   x = 1,176.03