Finding the Fourth Proportional to 6,865.50, 10,298.24 and 5,938.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,865.50 : 10,298.24 = 5,938.30 : x
2. Step 2: Convert to fraction form
   6,865.50/10,298.24 = 5,938.30/x
3. Step 3: Cross multiply
   6,865.50x = 10,298.24 × 5,938.30
4. Step 4: Simplify right side
   6,865.50x = 61,153,987.10
5. Step 5: Solve for x
   x = 61,153,987.10/6,865.50
6. Step 6: Final answer
   x = 8,907.43