Finding the Fourth Proportional to 1,412.76, 2,117.94 and 682.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.76 : 2,117.94 = 682.86 : x
2. Step 2: Convert to fraction form
   1,412.76/2,117.94 = 682.86/x
3. Step 3: Cross multiply
   1,412.76x = 2,117.94 × 682.86
4. Step 4: Simplify right side
   1,412.76x = 1,446,256.51
5. Step 5: Solve for x
   x = 1,446,256.51/1,412.76
6. Step 6: Final answer
   x = 1,023.71