Finding the Fourth Proportional to 1,412.22, 1,948.86 and 782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.22 : 1,948.86 = 782.75 : x
2. Step 2: Convert to fraction form
   1,412.22/1,948.86 = 782.75/x
3. Step 3: Cross multiply
   1,412.22x = 1,948.86 × 782.75
4. Step 4: Simplify right side
   1,412.22x = 1,525,470.17
5. Step 5: Solve for x
   x = 1,525,470.17/1,412.22
6. Step 6: Final answer
   x = 1,080.19