Finding the Fourth Proportional to 10,890.64, 16,323 and 7,585.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,890.64 : 16,323 = 7,585.84 : x
2. Step 2: Convert to fraction form
   10,890.64/16,323 = 7,585.84/x
3. Step 3: Cross multiply
   10,890.64x = 16,323 × 7,585.84
4. Step 4: Simplify right side
   10,890.64x = 123,823,666.32
5. Step 5: Solve for x
   x = 123,823,666.32/10,890.64
6. Step 6: Final answer
   x = 11,369.73