Finding the Fourth Proportional to 1,489.78, 2,055.89 and 826.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.78 : 2,055.89 = 826.63 : x
2. Step 2: Convert to fraction form
   1,489.78/2,055.89 = 826.63/x
3. Step 3: Cross multiply
   1,489.78x = 2,055.89 × 826.63
4. Step 4: Simplify right side
   1,489.78x = 1,699,457.28
5. Step 5: Solve for x
   x = 1,699,457.28/1,489.78
6. Step 6: Final answer
   x = 1,140.75