Finding the Fourth Proportional to 1,400.16, 2,098.18 and 784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.16 : 2,098.18 = 784.05 : x
2. Step 2: Convert to fraction form
   1,400.16/2,098.18 = 784.05/x
3. Step 3: Cross multiply
   1,400.16x = 2,098.18 × 784.05
4. Step 4: Simplify right side
   1,400.16x = 1,645,086.64
5. Step 5: Solve for x
   x = 1,645,086.64/1,400.16
6. Step 6: Final answer
   x = 1,174.93