Finding the Fourth Proportional to 5,784.64, 7,978.68 and 3,547.04

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.64 : 7,978.68 = 3,547.04 : x
2. Step 2: Convert to fraction form
   5,784.64/7,978.68 = 3,547.04/x
3. Step 3: Cross multiply
   5,784.64x = 7,978.68 × 3,547.04
4. Step 4: Simplify right side
   5,784.64x = 28,300,697.11
5. Step 5: Solve for x
   x = 28,300,697.11/5,784.64
6. Step 6: Final answer
   x = 4,892.39