Finding the Fourth Proportional to 5,897.64, 8,086.00 and 5,792.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,897.64 : 8,086.00 = 5,792.34 : x
2. Step 2: Convert to fraction form
   5,897.64/8,086.00 = 5,792.34/x
3. Step 3: Cross multiply
   5,897.64x = 8,086.00 × 5,792.34
4. Step 4: Simplify right side
   5,897.64x = 46,836,846.76
5. Step 5: Solve for x
   x = 46,836,846.76/5,897.64
6. Step 6: Final answer
   x = 7,941.63