Finding the Fourth Proportional to 1,412.13, 1,948.89 and 782.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.13 : 1,948.89 = 782.71 : x
2. Step 2: Convert to fraction form
   1,412.13/1,948.89 = 782.71/x
3. Step 3: Cross multiply
   1,412.13x = 1,948.89 × 782.71
4. Step 4: Simplify right side
   1,412.13x = 1,525,415.69
5. Step 5: Solve for x
   x = 1,525,415.69/1,412.13
6. Step 6: Final answer
   x = 1,080.22