Finding the Fourth Proportional to 5,904.84, 8,122.50 and 5,665.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,904.84 : 8,122.50 = 5,665.08 : x
2. Step 2: Convert to fraction form
   5,904.84/8,122.50 = 5,665.08/x
3. Step 3: Cross multiply
   5,904.84x = 8,122.50 × 5,665.08
4. Step 4: Simplify right side
   5,904.84x = 46,014,612.30
5. Step 5: Solve for x
   x = 46,014,612.30/5,904.84
6. Step 6: Final answer
   x = 7,792.69