Finding the Fourth Proportional to 10,007.40, 13,807.46 and 5,758.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.40 : 13,807.46 = 5,758.28 : x
2. Step 2: Convert to fraction form
   10,007.40/13,807.46 = 5,758.28/x
3. Step 3: Cross multiply
   10,007.40x = 13,807.46 × 5,758.28
4. Step 4: Simplify right side
   10,007.40x = 79,507,220.77
5. Step 5: Solve for x
   x = 79,507,220.77/10,007.40
6. Step 6: Final answer
   x = 7,944.84