Finding the Fourth Proportional to 9,411.53, 12,986.47 and 5,377.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.53 : 12,986.47 = 5,377.65 : x
2. Step 2: Convert to fraction form
   9,411.53/12,986.47 = 5,377.65/x
3. Step 3: Cross multiply
   9,411.53x = 12,986.47 × 5,377.65
4. Step 4: Simplify right side
   9,411.53x = 69,836,676.95
5. Step 5: Solve for x
   x = 69,836,676.95/9,411.53
6. Step 6: Final answer
   x = 7,420.34