Finding the Fourth Proportional to 1,384.05, 1,909.56 and 852.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.05 : 1,909.56 = 852.38 : x
2. Step 2: Convert to fraction form
   1,384.05/1,909.56 = 852.38/x
3. Step 3: Cross multiply
   1,384.05x = 1,909.56 × 852.38
4. Step 4: Simplify right side
   1,384.05x = 1,627,670.75
5. Step 5: Solve for x
   x = 1,627,670.75/1,384.05
6. Step 6: Final answer
   x = 1,176.02