Finding the Fourth Proportional to 9,657.92, 14,483.78 and 4,977.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.92 : 14,483.78 = 4,977.31 : x
2. Step 2: Convert to fraction form
   9,657.92/14,483.78 = 4,977.31/x
3. Step 3: Cross multiply
   9,657.92x = 14,483.78 × 4,977.31
4. Step 4: Simplify right side
   9,657.92x = 72,090,263.03
5. Step 5: Solve for x
   x = 72,090,263.03/9,657.92
6. Step 6: Final answer
   x = 7,464.37