Finding the Fourth Proportional to 1,823.98, 2,731.61 and 1,052.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.98 : 2,731.61 = 1,052.14 : x
2. Step 2: Convert to fraction form
   1,823.98/2,731.61 = 1,052.14/x
3. Step 3: Cross multiply
   1,823.98x = 2,731.61 × 1,052.14
4. Step 4: Simplify right side
   1,823.98x = 2,874,036.15
5. Step 5: Solve for x
   x = 2,874,036.15/1,823.98
6. Step 6: Final answer
   x = 1,575.69