Finding the Fourth Proportional to 10,015.02, 13,820.16 and 5,538.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.02 : 13,820.16 = 5,538.51 : x
2. Step 2: Convert to fraction form
   10,015.02/13,820.16 = 5,538.51/x
3. Step 3: Cross multiply
   10,015.02x = 13,820.16 × 5,538.51
4. Step 4: Simplify right side
   10,015.02x = 76,543,094.36
5. Step 5: Solve for x
   x = 76,543,094.36/10,015.02
6. Step 6: Final answer
   x = 7,642.83