Finding the Fourth Proportional to 1,384.56, 1,909.72 and 824.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.56 : 1,909.72 = 824.60 : x
2. Step 2: Convert to fraction form
   1,384.56/1,909.72 = 824.60/x
3. Step 3: Cross multiply
   1,384.56x = 1,909.72 × 824.60
4. Step 4: Simplify right side
   1,384.56x = 1,574,741.44
5. Step 5: Solve for x
   x = 1,574,741.44/1,384.56
6. Step 6: Final answer
   x = 1,137.36