Finding the Fourth Proportional to 12,769, 19,159.98 and 5,845.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769 : 19,159.98 = 5,845.24 : x
2. Step 2: Convert to fraction form
   12,769/19,159.98 = 5,845.24/x
3. Step 3: Cross multiply
   12,769x = 19,159.98 × 5,845.24
4. Step 4: Simplify right side
   12,769x = 111,994,681.50
5. Step 5: Solve for x
   x = 111,994,681.50/12,769
6. Step 6: Final answer
   x = 8,770.83