Finding the Fourth Proportional to 7,789.34, 10,761.05 and 5,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,789.34 : 10,761.05 = 5,106.96 : x
2. Step 2: Convert to fraction form
   7,789.34/10,761.05 = 5,106.96/x
3. Step 3: Cross multiply
   7,789.34x = 10,761.05 × 5,106.96
4. Step 4: Simplify right side
   7,789.34x = 54,956,264.68
5. Step 5: Solve for x
   x = 54,956,264.68/7,789.34
6. Step 6: Final answer
   x = 7,055.31