Finding the Fourth Proportional to 1,400.58, 2,100.42 and 784.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.58 : 2,100.42 = 784.14 : x
2. Step 2: Convert to fraction form
   1,400.58/2,100.42 = 784.14/x
3. Step 3: Cross multiply
   1,400.58x = 2,100.42 × 784.14
4. Step 4: Simplify right side
   1,400.58x = 1,647,023.34
5. Step 5: Solve for x
   x = 1,647,023.34/1,400.58
6. Step 6: Final answer
   x = 1,175.96