Finding the Fourth Proportional to 13,131.48, 19,684.75 and 5,238.84

Step by Step Solution

1. Step 1: Write the proportion equation
   13,131.48 : 19,684.75 = 5,238.84 : x
2. Step 2: Convert to fraction form
   13,131.48/19,684.75 = 5,238.84/x
3. Step 3: Cross multiply
   13,131.48x = 19,684.75 × 5,238.84
4. Step 4: Simplify right side
   13,131.48x = 103,125,255.69
5. Step 5: Solve for x
   x = 103,125,255.69/13,131.48
6. Step 6: Final answer
   x = 7,853.29