Finding the Fourth Proportional to 13,816.50, 19,066.16 and 7,848.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,816.50 : 19,066.16 = 7,848.08 : x
2. Step 2: Convert to fraction form
   13,816.50/19,066.16 = 7,848.08/x
3. Step 3: Cross multiply
   13,816.50x = 19,066.16 × 7,848.08
4. Step 4: Simplify right side
   13,816.50x = 149,632,709.73
5. Step 5: Solve for x
   x = 149,632,709.73/13,816.50
6. Step 6: Final answer
   x = 10,830.00