Finding the Fourth Proportional to 13,077.62, 19,614.36 and 5,680.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,077.62 : 19,614.36 = 5,680.10 : x
2. Step 2: Convert to fraction form
   13,077.62/19,614.36 = 5,680.10/x
3. Step 3: Cross multiply
   13,077.62x = 19,614.36 × 5,680.10
4. Step 4: Simplify right side
   13,077.62x = 111,411,428.16
5. Step 5: Solve for x
   x = 111,411,428.16/13,077.62
6. Step 6: Final answer
   x = 8,519.24