Finding the Fourth Proportional to 1,824.63, 2,738.27 and 729.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.63 : 2,738.27 = 729.30 : x
2. Step 2: Convert to fraction form
   1,824.63/2,738.27 = 729.30/x
3. Step 3: Cross multiply
   1,824.63x = 2,738.27 × 729.30
4. Step 4: Simplify right side
   1,824.63x = 1,997,016.66
5. Step 5: Solve for x
   x = 1,997,016.66/1,824.63
6. Step 6: Final answer
   x = 1,094.48