Finding the Fourth Proportional to 13,185.08, 19,777.83 and 5,288.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.08 : 19,777.83 = 5,288.30 : x
2. Step 2: Convert to fraction form
   13,185.08/19,777.83 = 5,288.30/x
3. Step 3: Cross multiply
   13,185.08x = 19,777.83 × 5,288.30
4. Step 4: Simplify right side
   13,185.08x = 104,590,973.06
5. Step 5: Solve for x
   x = 104,590,973.06/13,185.08
6. Step 6: Final answer
   x = 7,932.52