Finding the Fourth Proportional to 10,002.10, 13,804.82 and 5,756.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.10 : 13,804.82 = 5,756.02 : x
2. Step 2: Convert to fraction form
   10,002.10/13,804.82 = 5,756.02/x
3. Step 3: Cross multiply
   10,002.10x = 13,804.82 × 5,756.02
4. Step 4: Simplify right side
   10,002.10x = 79,460,820.02
5. Step 5: Solve for x
   x = 79,460,820.02/10,002.10
6. Step 6: Final answer
   x = 7,944.41