Finding the Fourth Proportional to 5,783.62, 7,978.14 and 3,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.62 : 7,978.14 = 3,658.50 : x
2. Step 2: Convert to fraction form
   5,783.62/7,978.14 = 3,658.50/x
3. Step 3: Cross multiply
   5,783.62x = 7,978.14 × 3,658.50
4. Step 4: Simplify right side
   5,783.62x = 29,188,025.19
5. Step 5: Solve for x
   x = 29,188,025.19/5,783.62
6. Step 6: Final answer
   x = 5,046.67