Finding the Fourth Proportional to 10,354.16, 14,288.28 and 5,877.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.16 : 14,288.28 = 5,877.84 : x
2. Step 2: Convert to fraction form
   10,354.16/14,288.28 = 5,877.84/x
3. Step 3: Cross multiply
   10,354.16x = 14,288.28 × 5,877.84
4. Step 4: Simplify right side
   10,354.16x = 83,984,223.72
5. Step 5: Solve for x
   x = 83,984,223.72/10,354.16
6. Step 6: Final answer
   x = 8,111.16