Finding the Fourth Proportional to 10,200.19, 14,077.56 and 5,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.19 : 14,077.56 = 5,725.38 : x
2. Step 2: Convert to fraction form
   10,200.19/14,077.56 = 5,725.38/x
3. Step 3: Cross multiply
   10,200.19x = 14,077.56 × 5,725.38
4. Step 4: Simplify right side
   10,200.19x = 80,599,430.58
5. Step 5: Solve for x
   x = 80,599,430.58/10,200.19
6. Step 6: Final answer
   x = 7,901.76