Finding the Fourth Proportional to 1,353.95, 1,868.42 and 764.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.95 : 1,868.42 = 764.61 : x
2. Step 2: Convert to fraction form
   1,353.95/1,868.42 = 764.61/x
3. Step 3: Cross multiply
   1,353.95x = 1,868.42 × 764.61
4. Step 4: Simplify right side
   1,353.95x = 1,428,612.62
5. Step 5: Solve for x
   x = 1,428,612.62/1,353.95
6. Step 6: Final answer
   x = 1,055.14