Finding the Fourth Proportional to 10,496.61, 14,485.29 and 5,780.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.61 : 14,485.29 = 5,780.89 : x
2. Step 2: Convert to fraction form
   10,496.61/14,485.29 = 5,780.89/x
3. Step 3: Cross multiply
   10,496.61x = 14,485.29 × 5,780.89
4. Step 4: Simplify right side
   10,496.61x = 83,737,868.11
5. Step 5: Solve for x
   x = 83,737,868.11/10,496.61
6. Step 6: Final answer
   x = 7,977.61