Finding the Fourth Proportional to 1,147.86, 1,584.72 and 797.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.86 : 1,584.72 = 797.94 : x
2. Step 2: Convert to fraction form
   1,147.86/1,584.72 = 797.94/x
3. Step 3: Cross multiply
   1,147.86x = 1,584.72 × 797.94
4. Step 4: Simplify right side
   1,147.86x = 1,264,511.48
5. Step 5: Solve for x
   x = 1,264,511.48/1,147.86
6. Step 6: Final answer
   x = 1,101.63