Finding the Fourth Proportional to 9,784.70, 14,651.13 and 5,157.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.70 : 14,651.13 = 5,157.98 : x
2. Step 2: Convert to fraction form
   9,784.70/14,651.13 = 5,157.98/x
3. Step 3: Cross multiply
   9,784.70x = 14,651.13 × 5,157.98
4. Step 4: Simplify right side
   9,784.70x = 75,570,235.52
5. Step 5: Solve for x
   x = 75,570,235.52/9,784.70
6. Step 6: Final answer
   x = 7,723.31