Finding the Fourth Proportional to 7,109.60, 10,649.01 and 5,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,109.60 : 10,649.01 = 5,157.50 : x
2. Step 2: Convert to fraction form
   7,109.60/10,649.01 = 5,157.50/x
3. Step 3: Cross multiply
   7,109.60x = 10,649.01 × 5,157.50
4. Step 4: Simplify right side
   7,109.60x = 54,922,269.08
5. Step 5: Solve for x
   x = 54,922,269.08/7,109.60
6. Step 6: Final answer
   x = 7,725.09