Finding the Fourth Proportional to 10,854.34, 14,973.87 and 7,077.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854.34 : 14,973.87 = 7,077.58 : x
2. Step 2: Convert to fraction form
   10,854.34/14,973.87 = 7,077.58/x
3. Step 3: Cross multiply
   10,854.34x = 14,973.87 × 7,077.58
4. Step 4: Simplify right side
   10,854.34x = 105,978,762.83
5. Step 5: Solve for x
   x = 105,978,762.83/10,854.34
6. Step 6: Final answer
   x = 9,763.72