Finding the Fourth Proportional to 10,426.40, 14,388.34 and 5,646.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.40 : 14,388.34 = 5,646.35 : x
2. Step 2: Convert to fraction form
   10,426.40/14,388.34 = 5,646.35/x
3. Step 3: Cross multiply
   10,426.40x = 14,388.34 × 5,646.35
4. Step 4: Simplify right side
   10,426.40x = 81,241,503.39
5. Step 5: Solve for x
   x = 81,241,503.39/10,426.40
6. Step 6: Final answer
   x = 7,791.91