Finding the Fourth Proportional to 5,784.59, 7,987.34 and 5,342.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.59 : 7,987.34 = 5,342.33 : x
2. Step 2: Convert to fraction form
   5,784.59/7,987.34 = 5,342.33/x
3. Step 3: Cross multiply
   5,784.59x = 7,987.34 × 5,342.33
4. Step 4: Simplify right side
   5,784.59x = 42,671,006.10
5. Step 5: Solve for x
   x = 42,671,006.10/5,784.59
6. Step 6: Final answer
   x = 7,376.67