Finding the Fourth Proportional to 5,200.69, 7,797.91 and 2,386.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.69 : 7,797.91 = 2,386.00 : x
2. Step 2: Convert to fraction form
   5,200.69/7,797.91 = 2,386.00/x
3. Step 3: Cross multiply
   5,200.69x = 7,797.91 × 2,386.00
4. Step 4: Simplify right side
   5,200.69x = 18,605,774.27
5. Step 5: Solve for x
   x = 18,605,774.27/5,200.69
6. Step 6: Final answer
   x = 3,577.56