Finding the Fourth Proportional to 9,642.72, 13,302.54 and 5,663.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.72 : 13,302.54 = 5,663.76 : x
2. Step 2: Convert to fraction form
   9,642.72/13,302.54 = 5,663.76/x
3. Step 3: Cross multiply
   9,642.72x = 13,302.54 × 5,663.76
4. Step 4: Simplify right side
   9,642.72x = 75,342,393.95
5. Step 5: Solve for x
   x = 75,342,393.95/9,642.72
6. Step 6: Final answer
   x = 7,813.40