Finding the Fourth Proportional to 9,614.79, 13,264.71 and 5,634.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614.79 : 13,264.71 = 5,634.45 : x
2. Step 2: Convert to fraction form
   9,614.79/13,264.71 = 5,634.45/x
3. Step 3: Cross multiply
   9,614.79x = 13,264.71 × 5,634.45
4. Step 4: Simplify right side
   9,614.79x = 74,739,345.26
5. Step 5: Solve for x
   x = 74,739,345.26/9,614.79
6. Step 6: Final answer
   x = 7,773.37