Finding the Fourth Proportional to 10,448.52, 15,675.37 and 5,186.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,448.52 : 15,675.37 = 5,186.00 : x
2. Step 2: Convert to fraction form
   10,448.52/15,675.37 = 5,186.00/x
3. Step 3: Cross multiply
   10,448.52x = 15,675.37 × 5,186.00
4. Step 4: Simplify right side
   10,448.52x = 81,292,364.51
5. Step 5: Solve for x
   x = 81,292,364.51/10,448.52
6. Step 6: Final answer
   x = 7,780.28