Finding the Fourth Proportional to 4,684.37, 7,026.33 and 1,564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684.37 : 7,026.33 = 1,564.71 : x
2. Step 2: Convert to fraction form
   4,684.37/7,026.33 = 1,564.71/x
3. Step 3: Cross multiply
   4,684.37x = 7,026.33 × 1,564.71
4. Step 4: Simplify right side
   4,684.37x = 10,994,168.81
5. Step 5: Solve for x
   x = 10,994,168.81/4,684.37
6. Step 6: Final answer
   x = 2,346.99