Finding the Fourth Proportional to 9,614.41, 13,264.33 and 5,634.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.41 : 13,264.33 = 5,634.07 : x
2. Step 2: Convert to fraction form
   9,614.41/13,264.33 = 5,634.07/x
3. Step 3: Cross multiply
   9,614.41x = 13,264.33 × 5,634.07
4. Step 4: Simplify right side
   9,614.41x = 74,732,116.48
5. Step 5: Solve for x
   x = 74,732,116.48/9,614.41
6. Step 6: Final answer
   x = 7,772.93