Finding the Fourth Proportional to 9,810.63, 13,538.62 and 5,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810.63 : 13,538.62 = 5,562.50 : x
2. Step 2: Convert to fraction form
   9,810.63/13,538.62 = 5,562.50/x
3. Step 3: Cross multiply
   9,810.63x = 13,538.62 × 5,562.50
4. Step 4: Simplify right side
   9,810.63x = 75,308,573.75
5. Step 5: Solve for x
   x = 75,308,573.75/9,810.63
6. Step 6: Final answer
   x = 7,676.22