Finding the Fourth Proportional to 9,095.86, 13,636.05 and 5,146.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,095.86 : 13,636.05 = 5,146.51 : x
2. Step 2: Convert to fraction form
   9,095.86/13,636.05 = 5,146.51/x
3. Step 3: Cross multiply
   9,095.86x = 13,636.05 × 5,146.51
4. Step 4: Simplify right side
   9,095.86x = 70,178,067.69
5. Step 5: Solve for x
   x = 70,178,067.69/9,095.86
6. Step 6: Final answer
   x = 7,715.39