Finding the Fourth Proportional to 1,415.81, 1,953.83 and 826.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.81 : 1,953.83 = 826.46 : x
2. Step 2: Convert to fraction form
   1,415.81/1,953.83 = 826.46/x
3. Step 3: Cross multiply
   1,415.81x = 1,953.83 × 826.46
4. Step 4: Simplify right side
   1,415.81x = 1,614,763.09
5. Step 5: Solve for x
   x = 1,614,763.09/1,415.81
6. Step 6: Final answer
   x = 1,140.52