Finding the Fourth Proportional to 9,712.43, 13,402.82 and 5,463.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,712.43 : 13,402.82 = 5,463.57 : x
2. Step 2: Convert to fraction form
   9,712.43/13,402.82 = 5,463.57/x
3. Step 3: Cross multiply
   9,712.43x = 13,402.82 × 5,463.57
4. Step 4: Simplify right side
   9,712.43x = 73,227,217.95
5. Step 5: Solve for x
   x = 73,227,217.95/9,712.43
6. Step 6: Final answer
   x = 7,539.54