Finding the Fourth Proportional to 10,005.75, 13,792.04 and 7,877.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.75 : 13,792.04 = 7,877.91 : x
2. Step 2: Convert to fraction form
   10,005.75/13,792.04 = 7,877.91/x
3. Step 3: Cross multiply
   10,005.75x = 13,792.04 × 7,877.91
4. Step 4: Simplify right side
   10,005.75x = 108,652,406.61
5. Step 5: Solve for x
   x = 108,652,406.61/10,005.75
6. Step 6: Final answer
   x = 10,859.00