Finding the Fourth Proportional to 1,400.54, 2,099.86 and 784.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.54 : 2,099.86 = 784.67 : x
2. Step 2: Convert to fraction form
   1,400.54/2,099.86 = 784.67/x
3. Step 3: Cross multiply
   1,400.54x = 2,099.86 × 784.67
4. Step 4: Simplify right side
   1,400.54x = 1,647,697.15
5. Step 5: Solve for x
   x = 1,647,697.15/1,400.54
6. Step 6: Final answer
   x = 1,176.47