Finding the Fourth Proportional to 10,354.41, 14,288.64 and 5,878.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.41 : 14,288.64 = 5,878.08 : x
2. Step 2: Convert to fraction form
   10,354.41/14,288.64 = 5,878.08/x
3. Step 3: Cross multiply
   10,354.41x = 14,288.64 × 5,878.08
4. Step 4: Simplify right side
   10,354.41x = 83,989,769.01
5. Step 5: Solve for x
   x = 83,989,769.01/10,354.41
6. Step 6: Final answer
   x = 8,111.50