Finding the Fourth Proportional to 9,614.17, 13,262.16 and 5,634.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.17 : 13,262.16 = 5,634.46 : x
2. Step 2: Convert to fraction form
   9,614.17/13,262.16 = 5,634.46/x
3. Step 3: Cross multiply
   9,614.17x = 13,262.16 × 5,634.46
4. Step 4: Simplify right side
   9,614.17x = 74,725,110.03
5. Step 5: Solve for x
   x = 74,725,110.03/9,614.17
6. Step 6: Final answer
   x = 7,772.39