Finding the Fourth Proportional to 1,383.61, 1,909.23 and 824.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.61 : 1,909.23 = 824.01 : x
2. Step 2: Convert to fraction form
   1,383.61/1,909.23 = 824.01/x
3. Step 3: Cross multiply
   1,383.61x = 1,909.23 × 824.01
4. Step 4: Simplify right side
   1,383.61x = 1,573,224.61
5. Step 5: Solve for x
   x = 1,573,224.61/1,383.61
6. Step 6: Final answer
   x = 1,137.04