Finding the Fourth Proportional to 1,415.94, 1,953.33 and 826.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.94 : 1,953.33 = 826.14 : x
2. Step 2: Convert to fraction form
   1,415.94/1,953.33 = 826.14/x
3. Step 3: Cross multiply
   1,415.94x = 1,953.33 × 826.14
4. Step 4: Simplify right side
   1,415.94x = 1,613,724.05
5. Step 5: Solve for x
   x = 1,613,724.05/1,415.94
6. Step 6: Final answer
   x = 1,139.68