Finding the Fourth Proportional to 11,648.42, 17,475.39 and 5,075.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.42 : 17,475.39 = 5,075.78 : x
2. Step 2: Convert to fraction form
   11,648.42/17,475.39 = 5,075.78/x
3. Step 3: Cross multiply
   11,648.42x = 17,475.39 × 5,075.78
4. Step 4: Simplify right side
   11,648.42x = 88,701,235.05
5. Step 5: Solve for x
   x = 88,701,235.05/11,648.42
6. Step 6: Final answer
   x = 7,614.87