Finding the Fourth Proportional to 10,038.72, 13,853.40 and 5,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.72 : 13,853.40 = 5,562.50 : x
2. Step 2: Convert to fraction form
   10,038.72/13,853.40 = 5,562.50/x
3. Step 3: Cross multiply
   10,038.72x = 13,853.40 × 5,562.50
4. Step 4: Simplify right side
   10,038.72x = 77,059,468.23
5. Step 5: Solve for x
   x = 77,059,468.23/10,038.72
6. Step 6: Final answer
   x = 7,676.22