Finding the Fourth Proportional to 9,674.60, 13,353.71 and 5,698.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,674.60 : 13,353.71 = 5,698.01 : x
2. Step 2: Convert to fraction form
   9,674.60/13,353.71 = 5,698.01/x
3. Step 3: Cross multiply
   9,674.60x = 13,353.71 × 5,698.01
4. Step 4: Simplify right side
   9,674.60x = 76,089,578.01
5. Step 5: Solve for x
   x = 76,089,578.01/9,674.60
6. Step 6: Final answer
   x = 7,864.89