Finding the Fourth Proportional to 1,997.61, 2,995.38 and 764.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,997.61 : 2,995.38 = 764.86 : x
2. Step 2: Convert to fraction form
   1,997.61/2,995.38 = 764.86/x
3. Step 3: Cross multiply
   1,997.61x = 2,995.38 × 764.86
4. Step 4: Simplify right side
   1,997.61x = 2,291,044.47
5. Step 5: Solve for x
   x = 2,291,044.47/1,997.61
6. Step 6: Final answer
   x = 1,146.89