Finding the Fourth Proportional to 1,415.69, 1,953.65 and 826.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.69 : 1,953.65 = 826.33 : x
2. Step 2: Convert to fraction form
   1,415.69/1,953.65 = 826.33/x
3. Step 3: Cross multiply
   1,415.69x = 1,953.65 × 826.33
4. Step 4: Simplify right side
   1,415.69x = 1,614,359.60
5. Step 5: Solve for x
   x = 1,614,359.60/1,415.69
6. Step 6: Final answer
   x = 1,140.33