Finding the Fourth Proportional to 10,416.64, 14,374.72 and 5,816.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416.64 : 14,374.72 = 5,816.96 : x
2. Step 2: Convert to fraction form
   10,416.64/14,374.72 = 5,816.96/x
3. Step 3: Cross multiply
   10,416.64x = 14,374.72 × 5,816.96
4. Step 4: Simplify right side
   10,416.64x = 83,617,171.25
5. Step 5: Solve for x
   x = 83,617,171.25/10,416.64
6. Step 6: Final answer
   x = 8,027.27