Finding the Fourth Proportional to 11,585.83, 17,365.79 and 5,002.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,585.83 : 17,365.79 = 5,002.15 : x
2. Step 2: Convert to fraction form
   11,585.83/17,365.79 = 5,002.15/x
3. Step 3: Cross multiply
   11,585.83x = 17,365.79 × 5,002.15
4. Step 4: Simplify right side
   11,585.83x = 86,866,261.44
5. Step 5: Solve for x
   x = 86,866,261.44/11,585.83
6. Step 6: Final answer
   x = 7,497.63