Finding the Fourth Proportional to 9,771.88, 14,677.50 and 5,830.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771.88 : 14,677.50 = 5,830.84 : x
2. Step 2: Convert to fraction form
   9,771.88/14,677.50 = 5,830.84/x
3. Step 3: Cross multiply
   9,771.88x = 14,677.50 × 5,830.84
4. Step 4: Simplify right side
   9,771.88x = 85,582,051.56
5. Step 5: Solve for x
   x = 85,582,051.56/9,771.88
6. Step 6: Final answer
   x = 8,758.00