Finding the Fourth Proportional to 13,175.60, 19,768.86 and 5,776.24

Step by Step Solution

1. Step 1: Write the proportion equation
   13,175.60 : 19,768.86 = 5,776.24 : x
2. Step 2: Convert to fraction form
   13,175.60/19,768.86 = 5,776.24/x
3. Step 3: Cross multiply
   13,175.60x = 19,768.86 × 5,776.24
4. Step 4: Simplify right side
   13,175.60x = 114,189,679.89
5. Step 5: Solve for x
   x = 114,189,679.89/13,175.60
6. Step 6: Final answer
   x = 8,666.75