Finding the Fourth Proportional to 1,385.68, 1,910.52 and 1,164.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.68 : 1,910.52 = 1,164.14 : x
2. Step 2: Convert to fraction form
   1,385.68/1,910.52 = 1,164.14/x
3. Step 3: Cross multiply
   1,385.68x = 1,910.52 × 1,164.14
4. Step 4: Simplify right side
   1,385.68x = 2,224,112.75
5. Step 5: Solve for x
   x = 2,224,112.75/1,385.68
6. Step 6: Final answer
   x = 1,605.07