Finding the Fourth Proportional to 10,641.26, 14,678.16 and 7,056.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.26 : 14,678.16 = 7,056.20 : x
2. Step 2: Convert to fraction form
   10,641.26/14,678.16 = 7,056.20/x
3. Step 3: Cross multiply
   10,641.26x = 14,678.16 × 7,056.20
4. Step 4: Simplify right side
   10,641.26x = 103,572,032.59
5. Step 5: Solve for x
   x = 103,572,032.59/10,641.26
6. Step 6: Final answer
   x = 9,733.06