Finding the Fourth Proportional to 9,645.39, 13,312.06 and 5,867.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.39 : 13,312.06 = 5,867.82 : x
2. Step 2: Convert to fraction form
   9,645.39/13,312.06 = 5,867.82/x
3. Step 3: Cross multiply
   9,645.39x = 13,312.06 × 5,867.82
4. Step 4: Simplify right side
   9,645.39x = 78,112,807.16
5. Step 5: Solve for x
   x = 78,112,807.16/9,645.39
6. Step 6: Final answer
   x = 8,098.46