Finding the Fourth Proportional to 11,760.66, 17,641.98 and 5,097.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760.66 : 17,641.98 = 5,097.60 : x
2. Step 2: Convert to fraction form
   11,760.66/17,641.98 = 5,097.60/x
3. Step 3: Cross multiply
   11,760.66x = 17,641.98 × 5,097.60
4. Step 4: Simplify right side
   11,760.66x = 89,931,757.25
5. Step 5: Solve for x
   x = 89,931,757.25/11,760.66
6. Step 6: Final answer
   x = 7,646.83