Finding the Fourth Proportional to 10,314.02, 14,233.33 and 5,837.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.02 : 14,233.33 = 5,837.69 : x
2. Step 2: Convert to fraction form
   10,314.02/14,233.33 = 5,837.69/x
3. Step 3: Cross multiply
   10,314.02x = 14,233.33 × 5,837.69
4. Step 4: Simplify right side
   10,314.02x = 83,089,768.21
5. Step 5: Solve for x
   x = 83,089,768.21/10,314.02
6. Step 6: Final answer
   x = 8,056.00