Finding the Fourth Proportional to 2,427.69, 3,642.24 and 784.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.69 : 3,642.24 = 784.20 : x
2. Step 2: Convert to fraction form
   2,427.69/3,642.24 = 784.20/x
3. Step 3: Cross multiply
   2,427.69x = 3,642.24 × 784.20
4. Step 4: Simplify right side
   2,427.69x = 2,856,244.61
5. Step 5: Solve for x
   x = 2,856,244.61/2,427.69
6. Step 6: Final answer
   x = 1,176.53