Finding the Fourth Proportional to 9,754.30, 13,462.68 and 5,777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,754.30 : 13,462.68 = 5,777.38 : x
2. Step 2: Convert to fraction form
   9,754.30/13,462.68 = 5,777.38/x
3. Step 3: Cross multiply
   9,754.30x = 13,462.68 × 5,777.38
4. Step 4: Simplify right side
   9,754.30x = 77,779,018.18
5. Step 5: Solve for x
   x = 77,779,018.18/9,754.30
6. Step 6: Final answer
   x = 7,973.82