Finding the Fourth Proportional to 13,075.36, 19,616.34 and 5,678.02

Step by Step Solution

1. Step 1: Write the proportion equation
   13,075.36 : 19,616.34 = 5,678.02 : x
2. Step 2: Convert to fraction form
   13,075.36/19,616.34 = 5,678.02/x
3. Step 3: Cross multiply
   13,075.36x = 19,616.34 × 5,678.02
4. Step 4: Simplify right side
   13,075.36x = 111,381,970.85
5. Step 5: Solve for x
   x = 111,381,970.85/13,075.36
6. Step 6: Final answer
   x = 8,518.46