Finding the Fourth Proportional to 10,352.96, 14,287.06 and 5,877.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,352.96 : 14,287.06 = 5,877.60 : x
2. Step 2: Convert to fraction form
   10,352.96/14,287.06 = 5,877.60/x
3. Step 3: Cross multiply
   10,352.96x = 14,287.06 × 5,877.60
4. Step 4: Simplify right side
   10,352.96x = 83,973,623.86
5. Step 5: Solve for x
   x = 83,973,623.86/10,352.96
6. Step 6: Final answer
   x = 8,111.07