Finding the Fourth Proportional to 10,346.81, 14,278.61 and 5,631.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,346.81 : 14,278.61 = 5,631.13 : x
2. Step 2: Convert to fraction form
   10,346.81/14,278.61 = 5,631.13/x
3. Step 3: Cross multiply
   10,346.81x = 14,278.61 × 5,631.13
4. Step 4: Simplify right side
   10,346.81x = 80,404,645.28
5. Step 5: Solve for x
   x = 80,404,645.28/10,346.81
6. Step 6: Final answer
   x = 7,770.96