Finding the Fourth Proportional to 9,256.93, 12,774.89 and 5,065.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.93 : 12,774.89 = 5,065.57 : x
2. Step 2: Convert to fraction form
   9,256.93/12,774.89 = 5,065.57/x
3. Step 3: Cross multiply
   9,256.93x = 12,774.89 × 5,065.57
4. Step 4: Simplify right side
   9,256.93x = 64,712,074.21
5. Step 5: Solve for x
   x = 64,712,074.21/9,256.93
6. Step 6: Final answer
   x = 6,990.66