Finding the Fourth Proportional to 11,764.46, 17,635.86 and 5,096.77

Step by Step Solution

1. Step 1: Write the proportion equation
   11,764.46 : 17,635.86 = 5,096.77 : x
2. Step 2: Convert to fraction form
   11,764.46/17,635.86 = 5,096.77/x
3. Step 3: Cross multiply
   11,764.46x = 17,635.86 × 5,096.77
4. Step 4: Simplify right side
   11,764.46x = 89,885,963.33
5. Step 5: Solve for x
   x = 89,885,963.33/11,764.46
6. Step 6: Final answer
   x = 7,640.46