Finding the Fourth Proportional to 10,012.80, 13,817.96 and 5,475.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.80 : 13,817.96 = 5,475.75 : x
2. Step 2: Convert to fraction form
   10,012.80/13,817.96 = 5,475.75/x
3. Step 3: Cross multiply
   10,012.80x = 13,817.96 × 5,475.75
4. Step 4: Simplify right side
   10,012.80x = 75,663,667.09
5. Step 5: Solve for x
   x = 75,663,667.09/10,012.80
6. Step 6: Final answer
   x = 7,556.69