Finding the Fourth Proportional to 9,696.84, 13,380.56 and 5,663.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.84 : 13,380.56 = 5,663.04 : x
2. Step 2: Convert to fraction form
   9,696.84/13,380.56 = 5,663.04/x
3. Step 3: Cross multiply
   9,696.84x = 13,380.56 × 5,663.04
4. Step 4: Simplify right side
   9,696.84x = 75,774,646.50
5. Step 5: Solve for x
   x = 75,774,646.50/9,696.84
6. Step 6: Final answer
   x = 7,814.36