Finding the Fourth Proportional to 10,690.58, 14,757.19 and 7,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,690.58 : 14,757.19 = 7,152.50 : x
2. Step 2: Convert to fraction form
   10,690.58/14,757.19 = 7,152.50/x
3. Step 3: Cross multiply
   10,690.58x = 14,757.19 × 7,152.50
4. Step 4: Simplify right side
   10,690.58x = 105,550,820.49
5. Step 5: Solve for x
   x = 105,550,820.49/10,690.58
6. Step 6: Final answer
   x = 9,873.25