Finding the Fourth Proportional to 10,003.14, 13,803.42 and 5,526.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.14 : 13,803.42 = 5,526.12 : x
2. Step 2: Convert to fraction form
   10,003.14/13,803.42 = 5,526.12/x
3. Step 3: Cross multiply
   10,003.14x = 13,803.42 × 5,526.12
4. Step 4: Simplify right side
   10,003.14x = 76,279,355.33
5. Step 5: Solve for x
   x = 76,279,355.33/10,003.14
6. Step 6: Final answer
   x = 7,625.54