Finding the Fourth Proportional to 10,758.96, 14,851.55 and 6,779.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.96 : 14,851.55 = 6,779.30 : x
2. Step 2: Convert to fraction form
   10,758.96/14,851.55 = 6,779.30/x
3. Step 3: Cross multiply
   10,758.96x = 14,851.55 × 6,779.30
4. Step 4: Simplify right side
   10,758.96x = 100,683,055.61
5. Step 5: Solve for x
   x = 100,683,055.61/10,758.96
6. Step 6: Final answer
   x = 9,358.07