Finding the Fourth Proportional to 5,784.84, 7,987.68 and 5,342.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.84 : 7,987.68 = 5,342.58 : x
2. Step 2: Convert to fraction form
   5,784.84/7,987.68 = 5,342.58/x
3. Step 3: Cross multiply
   5,784.84x = 7,987.68 × 5,342.58
4. Step 4: Simplify right side
   5,784.84x = 42,674,819.41
5. Step 5: Solve for x
   x = 42,674,819.41/5,784.84
6. Step 6: Final answer
   x = 7,377.01