Finding the Fourth Proportional to 2,150.86, 3,225.70 and 764.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.86 : 3,225.70 = 764.02 : x
2. Step 2: Convert to fraction form
   2,150.86/3,225.70 = 764.02/x
3. Step 3: Cross multiply
   2,150.86x = 3,225.70 × 764.02
4. Step 4: Simplify right side
   2,150.86x = 2,464,499.31
5. Step 5: Solve for x
   x = 2,464,499.31/2,150.86
6. Step 6: Final answer
   x = 1,145.82