Finding the Fourth Proportional to 9,902.34, 13,663.49 and 5,651.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.34 : 13,663.49 = 5,651.46 : x
2. Step 2: Convert to fraction form
   9,902.34/13,663.49 = 5,651.46/x
3. Step 3: Cross multiply
   9,902.34x = 13,663.49 × 5,651.46
4. Step 4: Simplify right side
   9,902.34x = 77,218,681.32
5. Step 5: Solve for x
   x = 77,218,681.32/9,902.34
6. Step 6: Final answer
   x = 7,798.02