Finding the Fourth Proportional to 10,002.67, 13,803.80 and 5,526.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002.67 : 13,803.80 = 5,526.33 : x
2. Step 2: Convert to fraction form
   10,002.67/13,803.80 = 5,526.33/x
3. Step 3: Cross multiply
   10,002.67x = 13,803.80 × 5,526.33
4. Step 4: Simplify right side
   10,002.67x = 76,284,354.05
5. Step 5: Solve for x
   x = 76,284,354.05/10,002.67
6. Step 6: Final answer
   x = 7,626.40