Finding the Fourth Proportional to 9,578.66, 13,219.06 and 5,602.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.66 : 13,219.06 = 5,602.10 : x
2. Step 2: Convert to fraction form
   9,578.66/13,219.06 = 5,602.10/x
3. Step 3: Cross multiply
   9,578.66x = 13,219.06 × 5,602.10
4. Step 4: Simplify right side
   9,578.66x = 74,054,496.03
5. Step 5: Solve for x
   x = 74,054,496.03/9,578.66
6. Step 6: Final answer
   x = 7,731.20