Finding the Fourth Proportional to 10,577.78, 14,597.32 and 6,101.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.78 : 14,597.32 = 6,101.46 : x
2. Step 2: Convert to fraction form
   10,577.78/14,597.32 = 6,101.46/x
3. Step 3: Cross multiply
   10,577.78x = 14,597.32 × 6,101.46
4. Step 4: Simplify right side
   10,577.78x = 89,064,964.09
5. Step 5: Solve for x
   x = 89,064,964.09/10,577.78
6. Step 6: Final answer
   x = 8,420.01