Finding the Fourth Proportional to 1,823.59, 2,734.53 and 783.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.59 : 2,734.53 = 783.55 : x
2. Step 2: Convert to fraction form
   1,823.59/2,734.53 = 783.55/x
3. Step 3: Cross multiply
   1,823.59x = 2,734.53 × 783.55
4. Step 4: Simplify right side
   1,823.59x = 2,142,640.98
5. Step 5: Solve for x
   x = 2,142,640.98/1,823.59
6. Step 6: Final answer
   x = 1,174.96