Finding the Fourth Proportional to 10,577.74, 14,597.24 and 5,862.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.74 : 14,597.24 = 5,862.02 : x
2. Step 2: Convert to fraction form
   10,577.74/14,597.24 = 5,862.02/x
3. Step 3: Cross multiply
   10,577.74x = 14,597.24 × 5,862.02
4. Step 4: Simplify right side
   10,577.74x = 85,569,312.82
5. Step 5: Solve for x
   x = 85,569,312.82/10,577.74
6. Step 6: Final answer
   x = 8,089.56