Finding the Fourth Proportional to 11,664.16, 17,493.12 and 5,088.85

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.16 : 17,493.12 = 5,088.85 : x
2. Step 2: Convert to fraction form
   11,664.16/17,493.12 = 5,088.85/x
3. Step 3: Cross multiply
   11,664.16x = 17,493.12 × 5,088.85
4. Step 4: Simplify right side
   11,664.16x = 89,019,819.98
5. Step 5: Solve for x
   x = 89,019,819.98/11,664.16
6. Step 6: Final answer
   x = 7,631.91