Finding the Fourth Proportional to 1,406.88, 1,941.50 and 785.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.88 : 1,941.50 = 785.88 : x
2. Step 2: Convert to fraction form
   1,406.88/1,941.50 = 785.88/x
3. Step 3: Cross multiply
   1,406.88x = 1,941.50 × 785.88
4. Step 4: Simplify right side
   1,406.88x = 1,525,786.02
5. Step 5: Solve for x
   x = 1,525,786.02/1,406.88
6. Step 6: Final answer
   x = 1,084.52