Finding the Fourth Proportional to 13,851.30, 19,116 and 7,881.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851.30 : 19,116 = 7,881.69 : x
2. Step 2: Convert to fraction form
   13,851.30/19,116 = 7,881.69/x
3. Step 3: Cross multiply
   13,851.30x = 19,116 × 7,881.69
4. Step 4: Simplify right side
   13,851.30x = 150,666,386.04
5. Step 5: Solve for x
   x = 150,666,386.04/13,851.30
6. Step 6: Final answer
   x = 10,877.42