Finding the Fourth Proportional to 9,677.60, 13,354.71 and 5,485.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.60 : 13,354.71 = 5,485.76 : x
2. Step 2: Convert to fraction form
   9,677.60/13,354.71 = 5,485.76/x
3. Step 3: Cross multiply
   9,677.60x = 13,354.71 × 5,485.76
4. Step 4: Simplify right side
   9,677.60x = 73,260,733.93
5. Step 5: Solve for x
   x = 73,260,733.93/9,677.60
6. Step 6: Final answer
   x = 7,570.13