Finding the Fourth Proportional to 10,140.03, 13,991.61 and 5,663.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.03 : 13,991.61 = 5,663.55 : x
2. Step 2: Convert to fraction form
   10,140.03/13,991.61 = 5,663.55/x
3. Step 3: Cross multiply
   10,140.03x = 13,991.61 × 5,663.55
4. Step 4: Simplify right side
   10,140.03x = 79,242,182.82
5. Step 5: Solve for x
   x = 79,242,182.82/10,140.03
6. Step 6: Final answer
   x = 7,814.79