Finding the Fourth Proportional to 9,614.65, 13,264.67 and 5,634.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.65 : 13,264.67 = 5,634.31 : x
2. Step 2: Convert to fraction form
   9,614.65/13,264.67 = 5,634.31/x
3. Step 3: Cross multiply
   9,614.65x = 13,264.67 × 5,634.31
4. Step 4: Simplify right side
   9,614.65x = 74,737,262.83
5. Step 5: Solve for x
   x = 74,737,262.83/9,614.65
6. Step 6: Final answer
   x = 7,773.27