Finding the Fourth Proportional to 10,054.40, 13,874.95 and 5,578.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054.40 : 13,874.95 = 5,578.04 : x
2. Step 2: Convert to fraction form
   10,054.40/13,874.95 = 5,578.04/x
3. Step 3: Cross multiply
   10,054.40x = 13,874.95 × 5,578.04
4. Step 4: Simplify right side
   10,054.40x = 77,395,026.10
5. Step 5: Solve for x
   x = 77,395,026.10/10,054.40
6. Step 6: Final answer
   x = 7,697.63