Finding the Fourth Proportional to 13,100.94, 19,638.60 and 5,200.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13,100.94 : 19,638.60 = 5,200.83 : x
2. Step 2: Convert to fraction form
   13,100.94/19,638.60 = 5,200.83/x
3. Step 3: Cross multiply
   13,100.94x = 19,638.60 × 5,200.83
4. Step 4: Simplify right side
   13,100.94x = 102,137,020.04
5. Step 5: Solve for x
   x = 102,137,020.04/13,100.94
6. Step 6: Final answer
   x = 7,796.16