Finding the Fourth Proportional to 13,852.72, 19,114.96 and 7,802.18

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.72 : 19,114.96 = 7,802.18 : x
2. Step 2: Convert to fraction form
   13,852.72/19,114.96 = 7,802.18/x
3. Step 3: Cross multiply
   13,852.72x = 19,114.96 × 7,802.18
4. Step 4: Simplify right side
   13,852.72x = 149,138,358.61
5. Step 5: Solve for x
   x = 149,138,358.61/13,852.72
6. Step 6: Final answer
   x = 10,766.00