Finding the Fourth Proportional to 9,642.31, 13,306.28 and 5,663.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.31 : 13,306.28 = 5,663.79 : x
2. Step 2: Convert to fraction form
   9,642.31/13,306.28 = 5,663.79/x
3. Step 3: Cross multiply
   9,642.31x = 13,306.28 × 5,663.79
4. Step 4: Simplify right side
   9,642.31x = 75,363,947.28
5. Step 5: Solve for x
   x = 75,363,947.28/9,642.31
6. Step 6: Final answer
   x = 7,815.97