Finding the Fourth Proportional to 1,823.82, 2,514.15 and 1,430.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.82 : 2,514.15 = 1,430.16 : x
2. Step 2: Convert to fraction form
   1,823.82/2,514.15 = 1,430.16/x
3. Step 3: Cross multiply
   1,823.82x = 2,514.15 × 1,430.16
4. Step 4: Simplify right side
   1,823.82x = 3,595,636.76
5. Step 5: Solve for x
   x = 3,595,636.76/1,823.82
6. Step 6: Final answer
   x = 1,971.49