Finding the Fourth Proportional to 11,638.10, 17,457.87 and 5,788.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638.10 : 17,457.87 = 5,788.82 : x
2. Step 2: Convert to fraction form
   11,638.10/17,457.87 = 5,788.82/x
3. Step 3: Cross multiply
   11,638.10x = 17,457.87 × 5,788.82
4. Step 4: Simplify right side
   11,638.10x = 101,060,467.01
5. Step 5: Solve for x
   x = 101,060,467.01/11,638.10
6. Step 6: Final answer
   x = 8,683.59