Finding the Fourth Proportional to 10,002.18, 13,804.93 and 5,756.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.18 : 13,804.93 = 5,756.06 : x
2. Step 2: Convert to fraction form
   10,002.18/13,804.93 = 5,756.06/x
3. Step 3: Cross multiply
   10,002.18x = 13,804.93 × 5,756.06
4. Step 4: Simplify right side
   10,002.18x = 79,462,047.08
5. Step 5: Solve for x
   x = 79,462,047.08/10,002.18
6. Step 6: Final answer
   x = 7,944.47