Finding the Fourth Proportional to 1,314.23, 1,814.05 and 783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.23 : 1,814.05 = 783.50 : x
2. Step 2: Convert to fraction form
   1,314.23/1,814.05 = 783.50/x
3. Step 3: Cross multiply
   1,314.23x = 1,814.05 × 783.50
4. Step 4: Simplify right side
   1,314.23x = 1,421,300.78
5. Step 5: Solve for x
   x = 1,421,300.78/1,314.23
6. Step 6: Final answer
   x = 1,081.47