Finding the Fourth Proportional to 10,140.09, 13,993.88 and 5,948.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.09 : 13,993.88 = 5,948.34 : x
2. Step 2: Convert to fraction form
   10,140.09/13,993.88 = 5,948.34/x
3. Step 3: Cross multiply
   10,140.09x = 13,993.88 × 5,948.34
4. Step 4: Simplify right side
   10,140.09x = 83,240,326.42
5. Step 5: Solve for x
   x = 83,240,326.42/10,140.09
6. Step 6: Final answer
   x = 8,209.03