Finding the Fourth Proportional to 13,091.86, 19,639.94 and 5,194.41

Step by Step Solution

1. Step 1: Write the proportion equation
   13,091.86 : 19,639.94 = 5,194.41 : x
2. Step 2: Convert to fraction form
   13,091.86/19,639.94 = 5,194.41/x
3. Step 3: Cross multiply
   13,091.86x = 19,639.94 × 5,194.41
4. Step 4: Simplify right side
   13,091.86x = 102,017,955.42
5. Step 5: Solve for x
   x = 102,017,955.42/13,091.86
6. Step 6: Final answer
   x = 7,792.47