Finding the Fourth Proportional to 10,075.05, 13,903.63 and 5,537.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.05 : 13,903.63 = 5,537.69 : x
2. Step 2: Convert to fraction form
   10,075.05/13,903.63 = 5,537.69/x
3. Step 3: Cross multiply
   10,075.05x = 13,903.63 × 5,537.69
4. Step 4: Simplify right side
   10,075.05x = 76,993,992.81
5. Step 5: Solve for x
   x = 76,993,992.81/10,075.05
6. Step 6: Final answer
   x = 7,642.05