Finding the Fourth Proportional to 1,415.86, 1,953.71 and 826.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.86 : 1,953.71 = 826.31 : x
2. Step 2: Convert to fraction form
   1,415.86/1,953.71 = 826.31/x
3. Step 3: Cross multiply
   1,415.86x = 1,953.71 × 826.31
4. Step 4: Simplify right side
   1,415.86x = 1,614,370.11
5. Step 5: Solve for x
   x = 1,614,370.11/1,415.86
6. Step 6: Final answer
   x = 1,140.20