Finding the Fourth Proportional to 1,824.78, 2,517.82 and 1,161.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.78 : 2,517.82 = 1,161.40 : x
2. Step 2: Convert to fraction form
   1,824.78/2,517.82 = 1,161.40/x
3. Step 3: Cross multiply
   1,824.78x = 2,517.82 × 1,161.40
4. Step 4: Simplify right side
   1,824.78x = 2,924,196.15
5. Step 5: Solve for x
   x = 2,924,196.15/1,824.78
6. Step 6: Final answer
   x = 1,602.49