Finding the Fourth Proportional to 10,056.99, 13,878.06 and 5,580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.99 : 13,878.06 = 5,580.42 : x
2. Step 2: Convert to fraction form
   10,056.99/13,878.06 = 5,580.42/x
3. Step 3: Cross multiply
   10,056.99x = 13,878.06 × 5,580.42
4. Step 4: Simplify right side
   10,056.99x = 77,445,403.59
5. Step 5: Solve for x
   x = 77,445,403.59/10,056.99
6. Step 6: Final answer
   x = 7,700.65