Finding the Fourth Proportional to 9,358.61, 12,914.69 and 5,109.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.61 : 12,914.69 = 5,109.76 : x
2. Step 2: Convert to fraction form
   9,358.61/12,914.69 = 5,109.76/x
3. Step 3: Cross multiply
   9,358.61x = 12,914.69 × 5,109.76
4. Step 4: Simplify right side
   9,358.61x = 65,990,901.80
5. Step 5: Solve for x
   x = 65,990,901.80/9,358.61
6. Step 6: Final answer
   x = 7,051.36