Finding the Fourth Proportional to 10,429.58, 14,406.63 and 7,772.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.58 : 14,406.63 = 7,772.38 : x
2. Step 2: Convert to fraction form
   10,429.58/14,406.63 = 7,772.38/x
3. Step 3: Cross multiply
   10,429.58x = 14,406.63 × 7,772.38
4. Step 4: Simplify right side
   10,429.58x = 111,973,737.72
5. Step 5: Solve for x
   x = 111,973,737.72/10,429.58
6. Step 6: Final answer
   x = 10,736.17