Finding the Fourth Proportional to 10,349.82, 14,283 and 5,874.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.82 : 14,283 = 5,874.12 : x
2. Step 2: Convert to fraction form
   10,349.82/14,283 = 5,874.12/x
3. Step 3: Cross multiply
   10,349.82x = 14,283 × 5,874.12
4. Step 4: Simplify right side
   10,349.82x = 83,900,055.96
5. Step 5: Solve for x
   x = 83,900,055.96/10,349.82
6. Step 6: Final answer
   x = 8,106.43