Finding the Fourth Proportional to 10,182.59, 14,051.25 and 5,644.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.59 : 14,051.25 = 5,644.94 : x
2. Step 2: Convert to fraction form
   10,182.59/14,051.25 = 5,644.94/x
3. Step 3: Cross multiply
   10,182.59x = 14,051.25 × 5,644.94
4. Step 4: Simplify right side
   10,182.59x = 79,318,392.92
5. Step 5: Solve for x
   x = 79,318,392.92/10,182.59
6. Step 6: Final answer
   x = 7,789.61