Finding the Fourth Proportional to 1,490.07, 2,056.14 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.07 : 2,056.14 = 826.82 : x
2. Step 2: Convert to fraction form
   1,490.07/2,056.14 = 826.82/x
3. Step 3: Cross multiply
   1,490.07x = 2,056.14 × 826.82
4. Step 4: Simplify right side
   1,490.07x = 1,700,047.39
5. Step 5: Solve for x
   x = 1,700,047.39/1,490.07
6. Step 6: Final answer
   x = 1,140.92