Finding the Fourth Proportional to 1,455.47, 2,008.59 and 826.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,455.47 : 2,008.59 = 826.02 : x
2. Step 2: Convert to fraction form
   1,455.47/2,008.59 = 826.02/x
3. Step 3: Cross multiply
   1,455.47x = 2,008.59 × 826.02
4. Step 4: Simplify right side
   1,455.47x = 1,659,136.40
5. Step 5: Solve for x
   x = 1,659,136.40/1,455.47
6. Step 6: Final answer
   x = 1,139.93