Finding the Fourth Proportional to 10,035.64, 13,849.96 and 5,559.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,035.64 : 13,849.96 = 5,559.80 : x
2. Step 2: Convert to fraction form
   10,035.64/13,849.96 = 5,559.80/x
3. Step 3: Cross multiply
   10,035.64x = 13,849.96 × 5,559.80
4. Step 4: Simplify right side
   10,035.64x = 77,002,993.71
5. Step 5: Solve for x
   x = 77,002,993.71/10,035.64
6. Step 6: Final answer
   x = 7,672.96