Finding the Fourth Proportional to 11,758.56, 17,638.56 and 4,737.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.56 : 17,638.56 = 4,737.48 : x
2. Step 2: Convert to fraction form
   11,758.56/17,638.56 = 4,737.48/x
3. Step 3: Cross multiply
   11,758.56x = 17,638.56 × 4,737.48
4. Step 4: Simplify right side
   11,758.56x = 83,562,325.23
5. Step 5: Solve for x
   x = 83,562,325.23/11,758.56
6. Step 6: Final answer
   x = 7,106.51