Finding the Fourth Proportional to 2,547.60, 3,820.25 and 792.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547.60 : 3,820.25 = 792.09 : x
2. Step 2: Convert to fraction form
   2,547.60/3,820.25 = 792.09/x
3. Step 3: Cross multiply
   2,547.60x = 3,820.25 × 792.09
4. Step 4: Simplify right side
   2,547.60x = 3,025,977.86
5. Step 5: Solve for x
   x = 3,025,977.86/2,547.60
6. Step 6: Final answer
   x = 1,187.78