Finding the Fourth Proportional to 10,394.10, 14,343.18 and 5,678.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394.10 : 14,343.18 = 5,678.37 : x
2. Step 2: Convert to fraction form
   10,394.10/14,343.18 = 5,678.37/x
3. Step 3: Cross multiply
   10,394.10x = 14,343.18 × 5,678.37
4. Step 4: Simplify right side
   10,394.10x = 81,445,883.02
5. Step 5: Solve for x
   x = 81,445,883.02/10,394.10
6. Step 6: Final answer
   x = 7,835.78