Finding the Fourth Proportional to 1,823.53, 2,734.71 and 783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.53 : 2,734.71 = 783.25 : x
2. Step 2: Convert to fraction form
   1,823.53/2,734.71 = 783.25/x
3. Step 3: Cross multiply
   1,823.53x = 2,734.71 × 783.25
4. Step 4: Simplify right side
   1,823.53x = 2,141,961.61
5. Step 5: Solve for x
   x = 2,141,961.61/1,823.53
6. Step 6: Final answer
   x = 1,174.62