Finding the Fourth Proportional to 10,645.38, 14,690.04 and 5,865.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645.38 : 14,690.04 = 5,865.15 : x
2. Step 2: Convert to fraction form
   10,645.38/14,690.04 = 5,865.15/x
3. Step 3: Cross multiply
   10,645.38x = 14,690.04 × 5,865.15
4. Step 4: Simplify right side
   10,645.38x = 86,159,354.19
5. Step 5: Solve for x
   x = 86,159,354.19/10,645.38
6. Step 6: Final answer
   x = 8,093.59