Finding the Fourth Proportional to 1,384.14, 1,909.54 and 886.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.14 : 1,909.54 = 886.67 : x
2. Step 2: Convert to fraction form
   1,384.14/1,909.54 = 886.67/x
3. Step 3: Cross multiply
   1,384.14x = 1,909.54 × 886.67
4. Step 4: Simplify right side
   1,384.14x = 1,693,131.83
5. Step 5: Solve for x
   x = 1,693,131.83/1,384.14
6. Step 6: Final answer
   x = 1,223.24