Finding the Fourth Proportional to 5,269.24, 7,897.38 and 3,813.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,269.24 : 7,897.38 = 3,813.40 : x
2. Step 2: Convert to fraction form
   5,269.24/7,897.38 = 3,813.40/x
3. Step 3: Cross multiply
   5,269.24x = 7,897.38 × 3,813.40
4. Step 4: Simplify right side
   5,269.24x = 30,115,868.89
5. Step 5: Solve for x
   x = 30,115,868.89/5,269.24
6. Step 6: Final answer
   x = 5,715.41