Finding the Fourth Proportional to 9,358.74, 12,914.61 and 5,109.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,358.74 : 12,914.61 = 5,109.96 : x
2. Step 2: Convert to fraction form
   9,358.74/12,914.61 = 5,109.96/x
3. Step 3: Cross multiply
   9,358.74x = 12,914.61 × 5,109.96
4. Step 4: Simplify right side
   9,358.74x = 65,993,140.52
5. Step 5: Solve for x
   x = 65,993,140.52/9,358.74
6. Step 6: Final answer
   x = 7,051.50