Finding the Fourth Proportional to 9,645.12, 13,308.12 and 5,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.12 : 13,308.12 = 5,870.25 : x
2. Step 2: Convert to fraction form
   9,645.12/13,308.12 = 5,870.25/x
3. Step 3: Cross multiply
   9,645.12x = 13,308.12 × 5,870.25
4. Step 4: Simplify right side
   9,645.12x = 78,121,991.43
5. Step 5: Solve for x
   x = 78,121,991.43/9,645.12
6. Step 6: Final answer
   x = 8,099.64