Finding the Fourth Proportional to 11,686.64, 17,535.38 and 5,111.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686.64 : 17,535.38 = 5,111.96 : x
2. Step 2: Convert to fraction form
   11,686.64/17,535.38 = 5,111.96/x
3. Step 3: Cross multiply
   11,686.64x = 17,535.38 × 5,111.96
4. Step 4: Simplify right side
   11,686.64x = 89,640,047.91
5. Step 5: Solve for x
   x = 89,640,047.91/11,686.64
6. Step 6: Final answer
   x = 7,670.30