Finding the Fourth Proportional to 10,056.30, 13,878.33 and 5,580.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.30 : 13,878.33 = 5,580.54 : x
2. Step 2: Convert to fraction form
   10,056.30/13,878.33 = 5,580.54/x
3. Step 3: Cross multiply
   10,056.30x = 13,878.33 × 5,580.54
4. Step 4: Simplify right side
   10,056.30x = 77,448,575.70
5. Step 5: Solve for x
   x = 77,448,575.70/10,056.30
6. Step 6: Final answer
   x = 7,701.50