Finding the Fourth Proportional to 1,823.76, 2,516.69 and 1,027.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.76 : 2,516.69 = 1,027.10 : x
2. Step 2: Convert to fraction form
   1,823.76/2,516.69 = 1,027.10/x
3. Step 3: Cross multiply
   1,823.76x = 2,516.69 × 1,027.10
4. Step 4: Simplify right side
   1,823.76x = 2,584,892.30
5. Step 5: Solve for x
   x = 2,584,892.30/1,823.76
6. Step 6: Final answer
   x = 1,417.34