Finding the Fourth Proportional to 10,555.47, 14,566.55 and 5,840.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.47 : 14,566.55 = 5,840.46 : x
2. Step 2: Convert to fraction form
   10,555.47/14,566.55 = 5,840.46/x
3. Step 3: Cross multiply
   10,555.47x = 14,566.55 × 5,840.46
4. Step 4: Simplify right side
   10,555.47x = 85,075,352.61
5. Step 5: Solve for x
   x = 85,075,352.61/10,555.47
6. Step 6: Final answer
   x = 8,059.84