Finding the Fourth Proportional to 1,415.50, 1,953.22 and 826.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.50 : 1,953.22 = 826.02 : x
2. Step 2: Convert to fraction form
   1,415.50/1,953.22 = 826.02/x
3. Step 3: Cross multiply
   1,415.50x = 1,953.22 × 826.02
4. Step 4: Simplify right side
   1,415.50x = 1,613,398.78
5. Step 5: Solve for x
   x = 1,613,398.78/1,415.50
6. Step 6: Final answer
   x = 1,139.81