Finding the Fourth Proportional to 9,256.81, 12,774.59 and 5,065.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.81 : 12,774.59 = 5,065.15 : x
2. Step 2: Convert to fraction form
   9,256.81/12,774.59 = 5,065.15/x
3. Step 3: Cross multiply
   9,256.81x = 12,774.59 × 5,065.15
4. Step 4: Simplify right side
   9,256.81x = 64,705,214.54
5. Step 5: Solve for x
   x = 64,705,214.54/9,256.81
6. Step 6: Final answer
   x = 6,990.01