Finding the Fourth Proportional to 10,611.50, 14,643.88 and 5,896.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,611.50 : 14,643.88 = 5,896.22 : x
2. Step 2: Convert to fraction form
   10,611.50/14,643.88 = 5,896.22/x
3. Step 3: Cross multiply
   10,611.50x = 14,643.88 × 5,896.22
4. Step 4: Simplify right side
   10,611.50x = 86,343,538.13
5. Step 5: Solve for x
   x = 86,343,538.13/10,611.50
6. Step 6: Final answer
   x = 8,136.79