Finding the Fourth Proportional to 2,428.22, 3,641.42 and 784.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.22 : 3,641.42 = 784.33 : x
2. Step 2: Convert to fraction form
   2,428.22/3,641.42 = 784.33/x
3. Step 3: Cross multiply
   2,428.22x = 3,641.42 × 784.33
4. Step 4: Simplify right side
   2,428.22x = 2,856,064.86
5. Step 5: Solve for x
   x = 2,856,064.86/2,428.22
6. Step 6: Final answer
   x = 1,176.20