Finding the Fourth Proportional to 1,411.86, 1,948.80 and 914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.86 : 1,948.80 = 914.50 : x
2. Step 2: Convert to fraction form
   1,411.86/1,948.80 = 914.50/x
3. Step 3: Cross multiply
   1,411.86x = 1,948.80 × 914.50
4. Step 4: Simplify right side
   1,411.86x = 1,782,177.60
5. Step 5: Solve for x
   x = 1,782,177.60/1,411.86
6. Step 6: Final answer
   x = 1,262.29