Finding the Fourth Proportional to 2,084.16, 3,123.84 and 784.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.16 : 3,123.84 = 784.32 : x
2. Step 2: Convert to fraction form
   2,084.16/3,123.84 = 784.32/x
3. Step 3: Cross multiply
   2,084.16x = 3,123.84 × 784.32
4. Step 4: Simplify right side
   2,084.16x = 2,450,090.19
5. Step 5: Solve for x
   x = 2,450,090.19/2,084.16
6. Step 6: Final answer
   x = 1,175.58