Finding the Fourth Proportional to 10,534.02, 15,789.69 and 5,340.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.02 : 15,789.69 = 5,340.30 : x
2. Step 2: Convert to fraction form
   10,534.02/15,789.69 = 5,340.30/x
3. Step 3: Cross multiply
   10,534.02x = 15,789.69 × 5,340.30
4. Step 4: Simplify right side
   10,534.02x = 84,321,681.51
5. Step 5: Solve for x
   x = 84,321,681.51/10,534.02
6. Step 6: Final answer
   x = 8,004.70