Finding the Fourth Proportional to 1,384.06, 1,909.60 and 824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.06 : 1,909.60 = 824.25 : x
2. Step 2: Convert to fraction form
   1,384.06/1,909.60 = 824.25/x
3. Step 3: Cross multiply
   1,384.06x = 1,909.60 × 824.25
4. Step 4: Simplify right side
   1,384.06x = 1,573,987.80
5. Step 5: Solve for x
   x = 1,573,987.80/1,384.06
6. Step 6: Final answer
   x = 1,137.23