Finding the Fourth Proportional to 2,538.94, 3,807.36 and 783.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.94 : 3,807.36 = 783.52 : x
2. Step 2: Convert to fraction form
   2,538.94/3,807.36 = 783.52/x
3. Step 3: Cross multiply
   2,538.94x = 3,807.36 × 783.52
4. Step 4: Simplify right side
   2,538.94x = 2,983,142.71
5. Step 5: Solve for x
   x = 2,983,142.71/2,538.94
6. Step 6: Final answer
   x = 1,174.96