Finding the Fourth Proportional to 1,823.06, 2,513.82 and 1,380.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.06 : 2,513.82 = 1,380.14 : x
2. Step 2: Convert to fraction form
   1,823.06/2,513.82 = 1,380.14/x
3. Step 3: Cross multiply
   1,823.06x = 2,513.82 × 1,380.14
4. Step 4: Simplify right side
   1,823.06x = 3,469,423.53
5. Step 5: Solve for x
   x = 3,469,423.53/1,823.06
6. Step 6: Final answer
   x = 1,903.08