Finding the Fourth Proportional to 1,181.34, 1,768.78 and 852.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.34 : 1,768.78 = 852.61 : x
2. Step 2: Convert to fraction form
   1,181.34/1,768.78 = 852.61/x
3. Step 3: Cross multiply
   1,181.34x = 1,768.78 × 852.61
4. Step 4: Simplify right side
   1,181.34x = 1,508,079.52
5. Step 5: Solve for x
   x = 1,508,079.52/1,181.34
6. Step 6: Final answer
   x = 1,276.58