Finding the Fourth Proportional to 10,555.71, 14,566.95 and 5,840.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.71 : 14,566.95 = 5,840.07 : x
2. Step 2: Convert to fraction form
   10,555.71/14,566.95 = 5,840.07/x
3. Step 3: Cross multiply
   10,555.71x = 14,566.95 × 5,840.07
4. Step 4: Simplify right side
   10,555.71x = 85,072,007.69
5. Step 5: Solve for x
   x = 85,072,007.69/10,555.71
6. Step 6: Final answer
   x = 8,059.34