Finding the Fourth Proportional to 10,056.34, 13,877.77 and 5,580.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.34 : 13,877.77 = 5,580.09 : x
2. Step 2: Convert to fraction form
   10,056.34/13,877.77 = 5,580.09/x
3. Step 3: Cross multiply
   10,056.34x = 13,877.77 × 5,580.09
4. Step 4: Simplify right side
   10,056.34x = 77,439,205.60
5. Step 5: Solve for x
   x = 77,439,205.60/10,056.34
6. Step 6: Final answer
   x = 7,700.54