Finding the Fourth Proportional to 10,064.34, 13,888.82 and 5,588.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064.34 : 13,888.82 = 5,588.10 : x
2. Step 2: Convert to fraction form
   10,064.34/13,888.82 = 5,588.10/x
3. Step 3: Cross multiply
   10,064.34x = 13,888.82 × 5,588.10
4. Step 4: Simplify right side
   10,064.34x = 77,612,129.01
5. Step 5: Solve for x
   x = 77,612,129.01/10,064.34
6. Step 6: Final answer
   x = 7,711.60