Finding the Fourth Proportional to 9,777.94, 14,664.64 and 5,830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.94 : 14,664.64 = 5,830.30 : x
2. Step 2: Convert to fraction form
   9,777.94/14,664.64 = 5,830.30/x
3. Step 3: Cross multiply
   9,777.94x = 14,664.64 × 5,830.30
4. Step 4: Simplify right side
   9,777.94x = 85,499,250.59
5. Step 5: Solve for x
   x = 85,499,250.59/9,777.94
6. Step 6: Final answer
   x = 8,744.10