Finding the Fourth Proportional to 11,758.71, 17,637.87 and 4,738.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.71 : 17,637.87 = 4,738.56 : x
2. Step 2: Convert to fraction form
   11,758.71/17,637.87 = 4,738.56/x
3. Step 3: Cross multiply
   11,758.71x = 17,637.87 × 4,738.56
4. Step 4: Simplify right side
   11,758.71x = 83,578,105.27
5. Step 5: Solve for x
   x = 83,578,105.27/11,758.71
6. Step 6: Final answer
   x = 7,107.76