Finding the Fourth Proportional to 5,842.31, 8,021.61 and 5,690.07

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842.31 : 8,021.61 = 5,690.07 : x
2. Step 2: Convert to fraction form
   5,842.31/8,021.61 = 5,690.07/x
3. Step 3: Cross multiply
   5,842.31x = 8,021.61 × 5,690.07
4. Step 4: Simplify right side
   5,842.31x = 45,643,522.41
5. Step 5: Solve for x
   x = 45,643,522.41/5,842.31
6. Step 6: Final answer
   x = 7,812.59