Finding the Fourth Proportional to 11,648.88, 17,476.56 and 5,075.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.88 : 17,476.56 = 5,075.64 : x
2. Step 2: Convert to fraction form
   11,648.88/17,476.56 = 5,075.64/x
3. Step 3: Cross multiply
   11,648.88x = 17,476.56 × 5,075.64
4. Step 4: Simplify right side
   11,648.88x = 88,704,727.00
5. Step 5: Solve for x
   x = 88,704,727.00/11,648.88
6. Step 6: Final answer
   x = 7,614.87