Finding the Fourth Proportional to 9,406.91, 12,968.83 and 7,807.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.91 : 12,968.83 = 7,807.77 : x
2. Step 2: Convert to fraction form
   9,406.91/12,968.83 = 7,807.77/x
3. Step 3: Cross multiply
   9,406.91x = 12,968.83 × 7,807.77
4. Step 4: Simplify right side
   9,406.91x = 101,257,641.81
5. Step 5: Solve for x
   x = 101,257,641.81/9,406.91
6. Step 6: Final answer
   x = 10,764.18