Finding the Fourth Proportional to 13,005.75, 19,511.52 and 5,109.03

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005.75 : 19,511.52 = 5,109.03 : x
2. Step 2: Convert to fraction form
   13,005.75/19,511.52 = 5,109.03/x
3. Step 3: Cross multiply
   13,005.75x = 19,511.52 × 5,109.03
4. Step 4: Simplify right side
   13,005.75x = 99,684,941.03
5. Step 5: Solve for x
   x = 99,684,941.03/13,005.75
6. Step 6: Final answer
   x = 7,664.68