Finding the Fourth Proportional to 1,407.51, 1,942.25 and 778.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.51 : 1,942.25 = 778.01 : x
2. Step 2: Convert to fraction form
   1,407.51/1,942.25 = 778.01/x
3. Step 3: Cross multiply
   1,407.51x = 1,942.25 × 778.01
4. Step 4: Simplify right side
   1,407.51x = 1,511,076.32
5. Step 5: Solve for x
   x = 1,511,076.32/1,407.51
6. Step 6: Final answer
   x = 1,073.58