Finding the Fourth Proportional to 9,677.55, 13,355.28 and 5,697.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.55 : 13,355.28 = 5,697.93 : x
2. Step 2: Convert to fraction form
   9,677.55/13,355.28 = 5,697.93/x
3. Step 3: Cross multiply
   9,677.55x = 13,355.28 × 5,697.93
4. Step 4: Simplify right side
   9,677.55x = 76,097,450.57
5. Step 5: Solve for x
   x = 76,097,450.57/9,677.55
6. Step 6: Final answer
   x = 7,863.30