Finding the Fourth Proportional to 10,056.78, 13,878.41 and 5,580.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.78 : 13,878.41 = 5,580.53 : x
2. Step 2: Convert to fraction form
   10,056.78/13,878.41 = 5,580.53/x
3. Step 3: Cross multiply
   10,056.78x = 13,878.41 × 5,580.53
4. Step 4: Simplify right side
   10,056.78x = 77,448,885.19
5. Step 5: Solve for x
   x = 77,448,885.19/10,056.78
6. Step 6: Final answer
   x = 7,701.16