Finding the Fourth Proportional to 10,778.62, 14,869.58 and 7,789.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.62 : 14,869.58 = 7,789.72 : x
2. Step 2: Convert to fraction form
   10,778.62/14,869.58 = 7,789.72/x
3. Step 3: Cross multiply
   10,778.62x = 14,869.58 × 7,789.72
4. Step 4: Simplify right side
   10,778.62x = 115,829,864.72
5. Step 5: Solve for x
   x = 115,829,864.72/10,778.62
6. Step 6: Final answer
   x = 10,746.26