Finding the Fourth Proportional to 9,358.68, 12,914.82 and 5,109.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.68 : 12,914.82 = 5,109.60 : x
2. Step 2: Convert to fraction form
   9,358.68/12,914.82 = 5,109.60/x
3. Step 3: Cross multiply
   9,358.68x = 12,914.82 × 5,109.60
4. Step 4: Simplify right side
   9,358.68x = 65,989,564.27
5. Step 5: Solve for x
   x = 65,989,564.27/9,358.68
6. Step 6: Final answer
   x = 7,051.16