Finding the Fourth Proportional to 11,760.30, 17,641.89 and 5,188.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760.30 : 17,641.89 = 5,188.14 : x
2. Step 2: Convert to fraction form
   11,760.30/17,641.89 = 5,188.14/x
3. Step 3: Cross multiply
   11,760.30x = 17,641.89 × 5,188.14
4. Step 4: Simplify right side
   11,760.30x = 91,528,595.18
5. Step 5: Solve for x
   x = 91,528,595.18/11,760.30
6. Step 6: Final answer
   x = 7,782.85