Finding the Fourth Proportional to 10,038.90, 13,854.54 and 5,564.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.90 : 13,854.54 = 5,564.06 : x
2. Step 2: Convert to fraction form
   10,038.90/13,854.54 = 5,564.06/x
3. Step 3: Cross multiply
   10,038.90x = 13,854.54 × 5,564.06
4. Step 4: Simplify right side
   10,038.90x = 77,087,422.56
5. Step 5: Solve for x
   x = 77,087,422.56/10,038.90
6. Step 6: Final answer
   x = 7,678.87