Finding the Fourth Proportional to 10,314.16, 14,232.56 and 5,838.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.16 : 14,232.56 = 5,838.24 : x
2. Step 2: Convert to fraction form
   10,314.16/14,232.56 = 5,838.24/x
3. Step 3: Cross multiply
   10,314.16x = 14,232.56 × 5,838.24
4. Step 4: Simplify right side
   10,314.16x = 83,093,101.09
5. Step 5: Solve for x
   x = 83,093,101.09/10,314.16
6. Step 6: Final answer
   x = 8,056.22