Finding the Fourth Proportional to 1,611.48, 2,222.46 and 1,147.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,611.48 : 2,222.46 = 1,147.80 : x
2. Step 2: Convert to fraction form
   1,611.48/2,222.46 = 1,147.80/x
3. Step 3: Cross multiply
   1,611.48x = 2,222.46 × 1,147.80
4. Step 4: Simplify right side
   1,611.48x = 2,550,939.59
5. Step 5: Solve for x
   x = 2,550,939.59/1,611.48
6. Step 6: Final answer
   x = 1,582.98