Finding the Fourth Proportional to 11,585.16, 17,380.78 and 5,009.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,585.16 : 17,380.78 = 5,009.78 : x
2. Step 2: Convert to fraction form
   11,585.16/17,380.78 = 5,009.78/x
3. Step 3: Cross multiply
   11,585.16x = 17,380.78 × 5,009.78
4. Step 4: Simplify right side
   11,585.16x = 87,073,914.96
5. Step 5: Solve for x
   x = 87,073,914.96/11,585.16
6. Step 6: Final answer
   x = 7,515.99