Finding the Fourth Proportional to 1,385.13, 1,911.31 and 795.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.13 : 1,911.31 = 795.64 : x
2. Step 2: Convert to fraction form
   1,385.13/1,911.31 = 795.64/x
3. Step 3: Cross multiply
   1,385.13x = 1,911.31 × 795.64
4. Step 4: Simplify right side
   1,385.13x = 1,520,714.69
5. Step 5: Solve for x
   x = 1,520,714.69/1,385.13
6. Step 6: Final answer
   x = 1,097.89