Finding the Fourth Proportional to 1,463.78, 2,191.37 and 914.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.78 : 2,191.37 = 914.30 : x
2. Step 2: Convert to fraction form
   1,463.78/2,191.37 = 914.30/x
3. Step 3: Cross multiply
   1,463.78x = 2,191.37 × 914.30
4. Step 4: Simplify right side
   1,463.78x = 2,003,570.50
5. Step 5: Solve for x
   x = 2,003,570.50/1,463.78
6. Step 6: Final answer
   x = 1,368.76