Finding the Fourth Proportional to 2,428.24, 3,641.42 and 784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.24 : 3,641.42 = 784.34 : x
2. Step 2: Convert to fraction form
   2,428.24/3,641.42 = 784.34/x
3. Step 3: Cross multiply
   2,428.24x = 3,641.42 × 784.34
4. Step 4: Simplify right side
   2,428.24x = 2,856,111.36
5. Step 5: Solve for x
   x = 2,856,111.36/2,428.24
6. Step 6: Final answer
   x = 1,176.21