Finding the Fourth Proportional to 9,975.10, 13,764.50 and 5,725.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.10 : 13,764.50 = 5,725.02 : x
2. Step 2: Convert to fraction form
   9,975.10/13,764.50 = 5,725.02/x
3. Step 3: Cross multiply
   9,975.10x = 13,764.50 × 5,725.02
4. Step 4: Simplify right side
   9,975.10x = 78,802,037.79
5. Step 5: Solve for x
   x = 78,802,037.79/9,975.10
6. Step 6: Final answer
   x = 7,899.87