Finding the Fourth Proportional to 10,611.76, 14,644.42 and 5,832.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,611.76 : 14,644.42 = 5,832.20 : x
2. Step 2: Convert to fraction form
   10,611.76/14,644.42 = 5,832.20/x
3. Step 3: Cross multiply
   10,611.76x = 14,644.42 × 5,832.20
4. Step 4: Simplify right side
   10,611.76x = 85,409,186.32
5. Step 5: Solve for x
   x = 85,409,186.32/10,611.76
6. Step 6: Final answer
   x = 8,048.54