Finding the Fourth Proportional to 10,052.82, 13,873.01 and 5,576.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.82 : 13,873.01 = 5,576.69 : x
2. Step 2: Convert to fraction form
   10,052.82/13,873.01 = 5,576.69/x
3. Step 3: Cross multiply
   10,052.82x = 13,873.01 × 5,576.69
4. Step 4: Simplify right side
   10,052.82x = 77,365,482.94
5. Step 5: Solve for x
   x = 77,365,482.94/10,052.82
6. Step 6: Final answer
   x = 7,695.90