Finding the Fourth Proportional to 10,056.84, 13,878.65 and 5,580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.84 : 13,878.65 = 5,580.42 : x
2. Step 2: Convert to fraction form
   10,056.84/13,878.65 = 5,580.42/x
3. Step 3: Cross multiply
   10,056.84x = 13,878.65 × 5,580.42
4. Step 4: Simplify right side
   10,056.84x = 77,448,696.03
5. Step 5: Solve for x
   x = 77,448,696.03/10,056.84
6. Step 6: Final answer
   x = 7,701.10