Finding the Fourth Proportional to 5,648.58, 7,787.34 and 3,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.58 : 7,787.34 = 3,760.25 : x
2. Step 2: Convert to fraction form
   5,648.58/7,787.34 = 3,760.25/x
3. Step 3: Cross multiply
   5,648.58x = 7,787.34 × 3,760.25
4. Step 4: Simplify right side
   5,648.58x = 29,282,345.24
5. Step 5: Solve for x
   x = 29,282,345.24/5,648.58
6. Step 6: Final answer
   x = 5,184.02