Finding the Fourth Proportional to 13,185.18, 19,777.74 and 5,291.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.18 : 19,777.74 = 5,291.25 : x
2. Step 2: Convert to fraction form
   13,185.18/19,777.74 = 5,291.25/x
3. Step 3: Cross multiply
   13,185.18x = 19,777.74 × 5,291.25
4. Step 4: Simplify right side
   13,185.18x = 104,648,966.78
5. Step 5: Solve for x
   x = 104,648,966.78/13,185.18
6. Step 6: Final answer
   x = 7,936.86