Finding the Fourth Proportional to 13,038.65, 19,556.71 and 3,678.53

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038.65 : 19,556.71 = 3,678.53 : x
2. Step 2: Convert to fraction form
   13,038.65/19,556.71 = 3,678.53/x
3. Step 3: Cross multiply
   13,038.65x = 19,556.71 × 3,678.53
4. Step 4: Simplify right side
   13,038.65x = 71,939,837.46
5. Step 5: Solve for x
   x = 71,939,837.46/13,038.65
6. Step 6: Final answer
   x = 5,517.43