Finding the Fourth Proportional to 9,256.95, 12,774.65 and 5,065.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.95 : 12,774.65 = 5,065.20 : x
2. Step 2: Convert to fraction form
   9,256.95/12,774.65 = 5,065.20/x
3. Step 3: Cross multiply
   9,256.95x = 12,774.65 × 5,065.20
4. Step 4: Simplify right side
   9,256.95x = 64,706,131.85
5. Step 5: Solve for x
   x = 64,706,131.85/9,256.95
6. Step 6: Final answer
   x = 6,990.01