Finding the Fourth Proportional to 10,005.40, 13,807.46 and 5,468.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.40 : 13,807.46 = 5,468.15 : x
2. Step 2: Convert to fraction form
   10,005.40/13,807.46 = 5,468.15/x
3. Step 3: Cross multiply
   10,005.40x = 13,807.46 × 5,468.15
4. Step 4: Simplify right side
   10,005.40x = 75,501,262.40
5. Step 5: Solve for x
   x = 75,501,262.40/10,005.40
6. Step 6: Final answer
   x = 7,546.05