Finding the Fourth Proportional to 1,447.50, 1,997.91 and 826.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.50 : 1,997.91 = 826.86 : x
2. Step 2: Convert to fraction form
   1,447.50/1,997.91 = 826.86/x
3. Step 3: Cross multiply
   1,447.50x = 1,997.91 × 826.86
4. Step 4: Simplify right side
   1,447.50x = 1,651,991.86
5. Step 5: Solve for x
   x = 1,651,991.86/1,447.50
6. Step 6: Final answer
   x = 1,141.27