Finding the Fourth Proportional to 1,412.01, 1,948.50 and 782.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.01 : 1,948.50 = 782.52 : x
2. Step 2: Convert to fraction form
   1,412.01/1,948.50 = 782.52/x
3. Step 3: Cross multiply
   1,412.01x = 1,948.50 × 782.52
4. Step 4: Simplify right side
   1,412.01x = 1,524,740.22
5. Step 5: Solve for x
   x = 1,524,740.22/1,412.01
6. Step 6: Final answer
   x = 1,079.84