Finding the Fourth Proportional to 9,854.04, 13,601.34 and 5,663.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,854.04 : 13,601.34 = 5,663.64 : x
2. Step 2: Convert to fraction form
   9,854.04/13,601.34 = 5,663.64/x
3. Step 3: Cross multiply
   9,854.04x = 13,601.34 × 5,663.64
4. Step 4: Simplify right side
   9,854.04x = 77,033,093.28
5. Step 5: Solve for x
   x = 77,033,093.28/9,854.04
6. Step 6: Final answer
   x = 7,817.41