Finding the Fourth Proportional to 1,384.38, 1,909.91 and 824.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.38 : 1,909.91 = 824.87 : x
2. Step 2: Convert to fraction form
   1,384.38/1,909.91 = 824.87/x
3. Step 3: Cross multiply
   1,384.38x = 1,909.91 × 824.87
4. Step 4: Simplify right side
   1,384.38x = 1,575,427.46
5. Step 5: Solve for x
   x = 1,575,427.46/1,384.38
6. Step 6: Final answer
   x = 1,138.00