Finding the Fourth Proportional to 11,597.50, 17,397.51 and 3,698.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,597.50 : 17,397.51 = 3,698.15 : x
2. Step 2: Convert to fraction form
   11,597.50/17,397.51 = 3,698.15/x
3. Step 3: Cross multiply
   11,597.50x = 17,397.51 × 3,698.15
4. Step 4: Simplify right side
   11,597.50x = 64,338,583.12
5. Step 5: Solve for x
   x = 64,338,583.12/11,597.50
6. Step 6: Final answer
   x = 5,547.63